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113012131100 = 2252111912742577
BaseRepresentation
bin110100101000000001…
…1000100010100011100
3101210201000021002110012
41221100003010110130
53322422101143400
6123530030102352
711110355156531
oct1512003042434
9353630232405
10113012131100
1143a23446860
1219a9b64a9b8
13a87056acbb
145681266d88
152e16785d35
hex1a500c451c

113012131100 has 144 divisors (see below), whose sum is σ = 283835166720. Its totient is φ = 38624947200.

The previous prime is 113012131093. The next prime is 113012131109. The reversal of 113012131100 is 1131210311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113012131109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2633012 + ... + 2675588.

Almost surely, 2113012131100 is an apocalyptic number.

113012131100 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 113012131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141917583360).

113012131100 is an abundant number, since it is smaller than the sum of its proper divisors (170823035620).

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

113012131100 is a wasteful number, since it uses less digits than its factorization.

113012131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42748 (or 42741 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 113012131100 its reverse (1131210311), we get a palindrome (114143341411).

The spelling of 113012131100 in words is "one hundred thirteen billion, twelve million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 127 190 209 220 254 275 380 418 475 508 550 635 836 950 1045 1100 1270 1397 1900 2090 2413 2540 2794 3175 4180 4826 5225 5588 6350 6985 9652 10450 12065 12700 13970 20900 24130 26543 27940 34925 42577 48260 53086 60325 69850 85154 106172 120650 132715 139700 170308 212885 241300 265430 425770 468347 530860 663575 808963 851540 936694 1064425 1327150 1617926 1873388 2128850 2341735 2654300 3235852 4044815 4257700 4683470 5407279 8089630 8898593 9366940 10814558 11708675 16179260 17797186 20224075 21629116 23417350 27036395 35594372 40448150 44492965 46834700 54072790 59480069 80896300 88985930 102738301 108145580 118960138 135181975 177971860 205476602 222464825 237920276 270363950 297400345 410953204 444929650 513691505 540727900 594800690 889859300 1027383010 1130121311 1189601380 1487001725 2054766020 2260242622 2568457525 2974003450 4520485244 5136915050 5650606555 5948006900 10273830100 11301213110 22602426220 28253032775 56506065550 113012131100