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113323223212100 = 225211798315711623
BaseRepresentation
bin11001110001000100011110…
…011101101110000001000100
3112212020121001021022111022222
4121301010132131232001010
5104323141430120241400
61041003545310311512
732604222053661116
oct3161043635560104
9485217037274288
10113323223212100
113312112219a140
12108629721b8598
134b30446012885
141ddac3236d3b6
15d17be5317185
hex67111e76e044

113323223212100 has 144 divisors (see below), whose sum is σ = 274935822981120. Its totient is φ = 40196613724800.

The previous prime is 113323223212099. The next prime is 113323223212103. The reversal of 113323223212100 is 1212322323311.

It is a self number, because there is not a number n which added to its sum of digits gives 113323223212100.

It is not an unprimeable number, because it can be changed into a prime (113323223212103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643112 + ... + 15068511.

It is an arithmetic number, because the mean of its divisors is an integer number (1909276548480).

Almost surely, 2113323223212100 is an apocalyptic number.

113323223212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323223212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137467911490560).

113323223212100 is an abundant number, since it is smaller than the sum of its proper divisors (161612599769020).

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

113323223212100 is a wasteful number, since it uses less digits than its factorization.

113323223212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711810 (or 15711803 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 113323223212100 its reverse (1212322323311), we get a palindrome (114535545535411).

The spelling of 113323223212100 in words is "one hundred thirteen trillion, three hundred twenty-three billion, two hundred twenty-three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 83 100 110 158 166 220 275 316 332 395 415 550 790 830 869 913 1100 1580 1660 1738 1826 1975 2075 3476 3652 3950 4150 4345 4565 6557 7900 8300 8690 9130 13114 17380 18260 21725 22825 26228 32785 43450 45650 65570 72127 86900 91300 131140 144254 163925 288508 327850 360635 655700 721270 1442540 1803175 3606350 7212700 15711623 31423246 62846492 78558115 157116230 172827853 314232460 345655706 392790575 691311412 785581150 864139265 1241218217 1304064709 1571162300 1728278530 2482436434 2608129418 3456557060 4320696325 4964872868 5216258836 6206091085 6520323545 8641392650 12412182170 13040647090 13653400387 14344711799 17282785300 24824364340 26081294180 27306800774 28689423598 31030455425 32601617725 54613601548 57378847196 62060910850 65203235450 68267001935 71723558995 103021112011 124121821700 130406470900 136534003870 143447117990 206042224022 273068007740 286894235980 341335009675 358617794975 412084448044 515105560055 682670019350 717235589950 1030211120110 1133232232121 1365340038700 1434471179900 2060422240220 2266464464242 2575527800275 4532928928484 5151055600550 5666161160605 10302111201100 11332322321210 22664644642420 28330805803025 56661611606050 113323223212100