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113542113031032 = 23377317235373281
BaseRepresentation
bin11001110100010000010101…
…010100000111001101111000
3112220000112001002010101221210
4121310100111110013031320
5104340233221413443112
61041252305431003120
732626101256513410
oct3164202524071570
9486015032111853
10113542113031032
11331a5a37850944
121089927bb094a0
134b47c8aa028aa
142007679107640
15d1d756d0eb3c
hex674415507378

113542113031032 has 128 divisors (see below), whose sum is σ = 329040875727360. Its totient is φ = 31977635880960.

The previous prime is 113542113031031. The next prime is 113542113031033. The reversal of 113542113031032 is 230130311245311.

It is an interprime number because it is at equal distance from previous prime (113542113031031) and next prime (113542113031033).

It is a super-2 number, since 2×1135421130310322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113542113031031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18444232 + ... + 23817512.

It is an arithmetic number, because the mean of its divisors is an integer number (2570631841620).

Almost surely, 2113542113031032 is an apocalyptic number.

113542113031032 is a gapful number since it is divisible by the number (12) 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 113542113031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520437863680).

113542113031032 is an abundant number, since it is smaller than the sum of its proper divisors (215498762696328).

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

113542113031032 is a wasteful number, since it uses less digits than its factorization.

113542113031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375093 (or 5375089 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 113542113031032 its reverse (230130311245311), we get a palindrome (343672424276343).

The spelling of 113542113031032 in words is "one hundred thirteen trillion, five hundred forty-two billion, one hundred thirteen million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1723 1752 2044 3066 3446 4088 5169 6132 6892 10338 12061 12264 13784 20676 24122 36183 41352 48244 72366 96488 125779 144732 251558 289464 377337 503116 754674 880453 1006232 1509348 1760906 2641359 3018696 3521812 5282718 5373281 7043624 10565436 10746562 16119843 21130872 21493124 32239686 37612967 42986248 64479372 75225934 112838901 128958744 150451868 225677802 300903736 392249513 451355604 784499026 902711208 1176748539 1568998052 2353497078 2745746591 3137996104 4706994156 5491493182 8237239773 9258163163 9413988312 10982986364 16474479546 18516326326 21965972728 27774489489 32948959092 37032652652 55548978978 64807142141 65897918184 74065305304 111097957956 129614284282 194421426423 222195915912 259228568564 388842852846 518457137128 675845910899 777685705692 1351691821798 1555371411384 2027537732697 2703383643596 4055075465394 4730921376293 5406767287192 8110150930788 9461842752586 14192764128879 16220301861576 18923685505172 28385528257758 37847371010344 56771056515516 113542113031032