Search a number
-
+
102100021112088 = 23324134586728019
BaseRepresentation
bin10111001101110000000011…
…011111010110110100011000
3111101111200000000112022211200
4113031300003133112310120
5101340301320401041323
61001052034023154200
730335324463106146
oct2715600337266430
9441450000468750
10102100021112088
112a5944151a296a
12b54b8025a5960
1344c7cb569c3bc
141b2d94b45a596
15bc0cc87a7443
hex5cdc037d6d18

102100021112088 has 48 divisors (see below), whose sum is σ = 283265302483800. Its totient is φ = 33203258897280.

The previous prime is 102100021112087. The next prime is 102100021112113. The reversal of 102100021112088 is 880211120001201.

It is a super-2 number, since 2×1021000211120882 (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 (102100021112081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17293361058 + ... + 17293366961.

Almost surely, 2102100021112088 is an apocalyptic number.

102100021112088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102100021112088 is an abundant number, since it is smaller than the sum of its proper divisors (181165281371712).

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

102100021112088 is a wasteful number, since it uses less digits than its factorization.

102100021112088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34586728072 (or 34586728065 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

Adding to 102100021112088 its reverse (880211120001201), we get a palindrome (982311141113289).

The spelling of 102100021112088 in words is "one hundred two trillion, one hundred billion, twenty-one million, one hundred twelve thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 34586728019 69173456038 103760184057 138346912076 207520368114 276693824152 311280552171 415040736228 622561104342 830081472456 1245122208684 1418055848779 2490244417368 2836111697558 4254167546337 5672223395116 8508335092674 11344446790232 12762502639011 17016670185348 25525005278022 34033340370696 51050010556044 102100021112088