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112312200311010 = 2345745134389131
BaseRepresentation
bin11001100010010110111000…
…110011011011000011100010
3112201122221102100100200020000
4121202112320303123003202
5104210110341234423020
61034511302413000430
732441201011055160
oct3142267063330342
9481587370320200
10112312200311010
1132871378114537
121071aa34783116
134a88cc216196b
141da3d21db4230
15ceb770edb090
hex6625b8cdb0e2

112312200311010 has 160 divisors (see below), whose sum is σ = 345213729159552. Its totient is φ = 25665665909760.

The previous prime is 112312200310997. The next prime is 112312200311033. The reversal of 112312200311010 is 10113002213211.

112312200311010 is a `hidden beast` number, since 1 + 12 + 312 + 20 + 0 + 311 + 0 + 10 = 666.

It is a super-2 number, since 2×1123122003110102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23394145 + ... + 27783275.

Almost surely, 2112312200311010 is an apocalyptic number.

112312200311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312200311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172606864579776).

112312200311010 is an abundant number, since it is smaller than the sum of its proper divisors (232901528848542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112312200311010 is a wasteful number, since it uses less digits than its factorization.

112312200311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393670 (or 4393661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112312200311010 its reverse (10113002213211), we get a palindrome (122425202524221).

The spelling of 112312200311010 in words is "one hundred twelve trillion, three hundred twelve billion, two hundred million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 4513 5670 9026 13539 22565 27078 31591 40617 45130 63182 67695 81234 94773 121851 135390 157955 189546 203085 243702 284319 315910 365553 406170 473865 568638 609255 731106 852957 947730 1218510 1421595 1705914 1827765 2558871 2843190 3655530 4264785 4389131 5117742 8529570 8778262 12794355 13167393 21945655 25588710 26334786 30723917 39502179 43891310 61447834 65836965 79004358 92171751 118506537 131673930 153619585 184343502 197510895 237013074 276515253 307239170 355519611 395021790 460858755 553030506 592532685 711039222 829545759 921717510 1185065370 1382576265 1659091518 1777598055 2488637277 2765152530 3555196110 4147728795 4977274554 8295457590 12443186385 19808148203 24886372770 39616296406 59424444609 99040741015 118848889218 138657037421 178273333827 198081482030 277314074842 297122223045 356546667654 415971112263 534820001481 594244446090 693285187105 831942224526 891366669135 1069640002962 1247913336789 1386570374210 1604460004443 1782733338270 2079855561315 2495826673578 2674100007405 3208920008886 3743740010367 4159711122630 5348200014810 6239566683945 7487480020734 8022300022215 11231220031101 12479133367890 16044600044430 18718700051835 22462440062202 37437400103670 56156100155505 112312200311010