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113101132344 = 233193117214649
BaseRepresentation
bin110100101010101011…
…0100101001000111000
3101210221012201211012120
41221111112211020320
53323112342213334
6123542525441240
711112515522424
oct1512526451070
9353835654176
10113101132344
1143a69705802
1219b05410220
13a885b30465
14568cdd3b84
152e1e4b6949
hex1a555a5238

113101132344 has 128 divisors (see below), whose sum is σ = 307480320000. Its totient is φ = 34536499200.

The previous prime is 113101132321. The next prime is 113101132409. The reversal of 113101132344 is 443231101311.

It is a happy number.

It is a super-2 number, since 2×1131011323442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24325732 + ... + 24330380.

It is an arithmetic number, because the mean of its divisors is an integer number (2402190000).

Almost surely, 2113101132344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113101132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160000).

113101132344 is an abundant number, since it is smaller than the sum of its proper divisors (194379187656).

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

113101132344 is a wasteful number, since it uses less digits than its factorization.

113101132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113101132344 its reverse (443231101311), we get a palindrome (556332233655).

The spelling of 113101132344 in words is "one hundred thirteen billion, one hundred one million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1721 1767 2356 3442 3534 4649 4712 5163 6884 7068 9298 10326 13768 13947 14136 18596 20652 27894 32699 37192 41304 53351 55788 65398 88331 98097 106702 111576 130796 144119 160053 176662 196194 213404 261592 264993 288238 320106 353324 392388 426808 432357 529986 576476 640212 706648 784776 864714 1013669 1059972 1152952 1280424 1729428 2027338 2119944 2738261 3041007 3458856 4054676 5476522 6082014 8000929 8109352 8214783 10953044 12164028 16001858 16429566 21906088 24002787 24328056 32003716 32859132 48005574 64007432 65718264 96011148 152017651 192022296 248028799 304035302 456052953 496057598 608070604 744086397 912105906 992115196 1216141208 1488172794 1824211812 1984230392 2976345588 3648423624 4712547181 5952691176 9425094362 14137641543 18850188724 28275283086 37700377448 56550566172 113101132344