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113240100330 = 23457187310663
BaseRepresentation
bin110100101110110100…
…0101100110111101010
3101211021220020010110000
41221131220230313222
53323403431202310
6124004412203430
711116123654050
oct1513550546752
9354256203400
10113240100330
11440300a2485
1219b43a69576
13a8a8868b36
1456a364a1d0
152e2b7b74c0
hex1a5da2cdea

113240100330 has 160 divisors (see below), whose sum is σ = 348207070464. Its totient is φ = 25867206144.

The previous prime is 113240100313. The next prime is 113240100367. The reversal of 113240100330 is 33001042311.

113240100330 is a `hidden beast` number, since 1 + 1 + 324 + 0 + 10 + 0 + 330 = 666.

It is a super-2 number, since 2×1132401003302 (a number of 23 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10614579 + ... + 10625241.

Almost surely, 2113240100330 is an apocalyptic number.

113240100330 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 113240100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174103535232).

113240100330 is an abundant number, since it is smaller than the sum of its proper divisors (234966970134).

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

113240100330 is a wasteful number, since it uses less digits than its factorization.

113240100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113240100330 its reverse (33001042311), we get a palindrome (146241142641).

The spelling of 113240100330 in words is "one hundred thirteen billion, two hundred forty million, one hundred thousand, three hundred thirty".

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 1873 1890 2835 3746 5619 5670 9365 10663 11238 13111 16857 18730 21326 26222 28095 31989 33714 39333 50571 53315 56190 63978 65555 74641 78666 84285 95967 101142 106630 117999 131110 149282 151713 159945 168570 191934 196665 223923 235998 252855 287901 303426 319890 353997 373205 393330 447846 479835 505710 575802 589995 671769 707994 746410 758565 863703 959670 1061991 1119615 1179990 1343538 1439505 1517130 1727406 1769985 2015307 2123982 2239230 2879010 3358845 3539970 4030614 4318515 5309955 6045921 6717690 8637030 10076535 10619910 12091842 19971799 20153070 30229605 39943598 59915397 60459210 99858995 119830794 139802593 179746191 199717990 279605186 299576985 359492382 419407779 539238573 599153970 699012965 838815558 898730955 1078477146 1258223337 1398025930 1617715719 1797461910 2097038895 2516446674 2696192865 3235431438 3774670011 4194077790 5392385730 6291116685 7549340022 8088578595 11324010033 12582233370 16177157190 18873350055 22648020066 37746700110 56620050165 113240100330