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100021112008 = 2317929791657
BaseRepresentation
bin101110100100110111…
…0010000110011001000
3100120011122100221110221
41131021232100303020
53114320401041013
6113540555315424
710140421265356
oct1351156206310
9316148327427
10100021112008
1139467345944
1217474a4bb74
13957ccc205c
144babb987d6
15290600a08d
hex1749b90cc8

100021112008 has 32 divisors (see below), whose sum is σ = 198785323800. Its totient is φ = 47018033152.

The previous prime is 100021112003. The next prime is 100021112033. The reversal of 100021112008 is 800211120001.

It can be written as a sum of positive squares in 4 ways, for example, as 91892647044 + 8128464964 = 303138^2 + 90158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100021111982 and 100021112000.

It is not an unprimeable number, because it can be changed into a prime (100021112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269485 + ... + 522172.

Almost surely, 2100021112008 is an apocalyptic number.

It is an amenable number.

100021112008 is a deficient number, since it is larger than the sum of its proper divisors (98764211792).

100021112008 is a wasteful number, since it uses less digits than its factorization.

100021112008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792609 (or 792605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100021112008 its reverse (800211120001), we get a palindrome (900232232009).

The spelling of 100021112008 in words is "one hundred billion, twenty-one million, one hundred twelve thousand, eight".

Divisors: 1 2 4 8 17 34 68 136 929 1858 3716 7432 15793 31586 63172 126344 791657 1583314 3166628 6333256 13458169 26916338 53832676 107665352 735449353 1470898706 2941797412 5883594824 12502639001 25005278002 50010556004 100021112008