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2100110112 = 25332430683
BaseRepresentation
bin111110100101101…
…0010001100100000
312102100201122111000
41331023102030200
513300112010422
6544220352000
7103020433002
oct17513221440
95370648430
102100110112
119885038a1
124a73a5600
13276129009
1415ccb8372
15c4589cac
hex7d2d2320

2100110112 has 48 divisors (see below), whose sum is σ = 6125323680. Its totient is φ = 700036416.

The previous prime is 2100110087. The next prime is 2100110119. The reversal of 2100110112 is 2110110012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100110094 and 2100110103.

It is not an unprimeable number, because it can be changed into a prime (2100110119) 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, 1214478 + ... + 1216205.

It is an arithmetic number, because the mean of its divisors is an integer number (127610910).

Almost surely, 22100110112 is an apocalyptic number.

It is an amenable number.

2100110112 is an abundant number, since it is smaller than the sum of its proper divisors (4025213568).

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

2100110112 is a wasteful number, since it uses less digits than its factorization.

2100110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430702 (or 2430688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2100110112 is about 45826.9583542264. The cubic root of 2100110112 is about 1280.6015466809.

Adding to 2100110112 its reverse (2110110012), we get a palindrome (4210220124).

It can be divided in two parts, 21001 and 10112, that added together give a palindrome (31113).

The spelling of 2100110112 in words is "two billion, one hundred million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2430683 4861366 7292049 9722732 14584098 19445464 21876147 29168196 38890928 43752294 58336392 65628441 77781856 87504588 116672784 131256882 175009176 233345568 262513764 350018352 525027528 700036704 1050055056 2100110112