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101100233112 = 233171153214913
BaseRepresentation
bin101111000101000001…
…0110010000110011000
3100122221211220222100020
41132022002302012120
53124023124424422
6114240024510440
710206233542134
oct1361202620630
9318854828306
10101100233112
113997049a56a
121771631b420
1396c2742558
144c712203c4
15296ab1995c
hex178a0b2198

101100233112 has 64 divisors (see below), whose sum is σ = 267851616480. Its totient is φ = 31690063872.

The previous prime is 101100233111. The next prime is 101100233137. The reversal of 101100233112 is 211332001101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101100233091 and 101100233100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100233111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362968 + ... + 577880.

Almost surely, 2101100233112 is an apocalyptic number.

101100233112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100233112 is an abundant number, since it is smaller than the sum of its proper divisors (166751383368).

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

101100233112 is a wasteful number, since it uses less digits than its factorization.

101100233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216092 (or 216088 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101100233112 its reverse (211332001101), we get a palindrome (312432234213).

The spelling of 101100233112 in words is "one hundred one billion, one hundred million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1153 2306 3459 4612 6918 9224 13836 19601 27672 39202 58803 78404 117606 156808 214913 235212 429826 470424 644739 859652 1289478 1719304 2578956 3653521 5157912 7307042 10960563 14614084 21921126 29228168 43842252 87684504 247794689 495589378 743384067 991178756 1486768134 1982357512 2973536268 4212509713 5947072536 8425019426 12637529139 16850038852 25275058278 33700077704 50550116556 101100233112