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20100012210 = 23251097320353
BaseRepresentation
bin10010101110000011…
…011101100010110010
31220212210201102012200
4102232003131202302
5312131100342320
613122301004030
71311045166455
oct225603354262
956783642180
1020100012210
118584a29743
123a8b553616
131b84323b65
14d896bb49c
157c9924290
hex4ae0dd8b2

20100012210 has 48 divisors (see below), whose sum is σ = 52267362264. Its totient is φ = 5359251456.

The previous prime is 20100012181. The next prime is 20100012211. The reversal of 20100012210 is 1221000102.

It can be written as a sum of positive squares in 4 ways, for example, as 15536874609 + 4563137601 = 124647^2 + 67551^2 .

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 = 20100012192 and 20100012201.

It is not an unprimeable number, because it can be changed into a prime (20100012211) 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 23 ways as a sum of consecutive naturals, for example, 977394 + ... + 997746.

Almost surely, 220100012210 is an apocalyptic number.

20100012210 is an abundant number, since it is smaller than the sum of its proper divisors (32167350054).

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

20100012210 is a wasteful number, since it uses less digits than its factorization.

20100012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31339 (or 31336 counting only the distinct ones).

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

Adding to 20100012210 its reverse (1221000102), we get a palindrome (21321012312).

The spelling of 20100012210 in words is "twenty billion, one hundred million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10973 20353 21946 32919 40706 54865 61059 65838 98757 101765 109730 122118 164595 183177 197514 203530 305295 329190 366354 493785 610590 915885 987570 1831770 223333469 446666938 670000407 1116667345 1340000814 2010001221 2233334690 3350002035 4020002442 6700004070 10050006105 20100012210