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101112331120 = 2456172048467
BaseRepresentation
bin101111000101011000…
…0111011101101110000
3100122222200200121200121
41132022300323231300
53124034224043440
6114241140100024
710206441430243
oct1361260735560
9318880617617
10101112331120
1139977302a19
121771a394614
1396c50ba038
144c72a8d25a
15296bc0934a
hex178ac3bb70

101112331120 has 40 divisors (see below), whose sum is σ = 235467299664. Its totient is φ = 40379361792.

The previous prime is 101112331079. The next prime is 101112331121. The reversal of 101112331120 is 21133211101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101112331094 and 101112331103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112331121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974874 + ... + 1073593.

Almost surely, 2101112331120 is an apocalyptic number.

101112331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112331120 is an abundant number, since it is smaller than the sum of its proper divisors (134354968544).

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

101112331120 is a wasteful number, since it uses less digits than its factorization.

101112331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049097 (or 2049091 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101112331120 its reverse (21133211101), we get a palindrome (122245542221).

The spelling of 101112331120 in words is "one hundred one billion, one hundred twelve million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 617 1234 2468 3085 4936 6170 9872 12340 24680 49360 2048467 4096934 8193868 10242335 16387736 20484670 32775472 40969340 81938680 163877360 1263904139 2527808278 5055616556 6319520695 10111233112 12639041390 20222466224 25278082780 50556165560 101112331120