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20002100112 = 2432138903473
BaseRepresentation
bin10010101000001101…
…111101001110010000
31220121222110222001200
4102220031331032100
5311431014200422
613104442231200
71305446021451
oct225015751620
956558428050
1020002100112
118534733955
123a627b5500
131b69c617c7
14d7a6b1128
157c10332ac
hex4a837d390

20002100112 has 30 divisors (see below), whose sum is σ = 55978100022. Its totient is φ = 6667366656.

The previous prime is 20002100093. The next prime is 20002100119. The reversal of 20002100112 is 21100120002.

It can be written as a sum of positive squares in only one way, i.e., 11169107856 + 8832992256 = 105684^2 + 93984^2 .

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 = 20002100094 and 20002100103.

It is not an unprimeable number, because it can be changed into a prime (20002100119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69451593 + ... + 69451880.

Almost surely, 220002100112 is an apocalyptic number.

It is an amenable number.

20002100112 is an abundant number, since it is smaller than the sum of its proper divisors (35975999910).

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

20002100112 is a wasteful number, since it uses less digits than its factorization.

20002100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138903487 (or 138903478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20002100112 its reverse (21100120002), we get a palindrome (41102220114).

The spelling of 20002100112 in words is "twenty billion, two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 138903473 277806946 416710419 555613892 833420838 1111227784 1250131257 1666841676 2222455568 2500262514 3333683352 5000525028 6667366704 10001050056 20002100112