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20431012212 = 223313137106219
BaseRepresentation
bin10011000001110010…
…001000000101110100
31221201212112221212000
4103001302020011310
5313320314342322
613215203255300
71322204511162
oct230162100564
957655487760
1020431012212
118734856966
123b6237a530
131c07a86b50
14dbb640232
157e8a083ac
hex4c1c88174

20431012212 has 96 divisors (see below), whose sum is σ = 57460771200. Its totient is φ = 6240519936.

The previous prime is 20431012201. The next prime is 20431012223. The reversal of 20431012212 is 21221013402.

It is a happy number.

20431012212 is a `hidden beast` number, since 20 + 431 + 0 + 1 + 2 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (20431012201) and next prime (20431012223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139239 + ... + 245457.

It is an arithmetic number, because the mean of its divisors is an integer number (598549700).

Almost surely, 220431012212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20431012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28730385600).

20431012212 is an abundant number, since it is smaller than the sum of its proper divisors (37029758988).

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

20431012212 is a wasteful number, since it uses less digits than its factorization.

20431012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106382 (or 106374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20431012212 its reverse (21221013402), we get a palindrome (41652025614).

The spelling of 20431012212 in words is "twenty billion, four hundred thirty-one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 137 156 234 274 351 411 468 548 702 822 1233 1404 1644 1781 2466 3562 3699 4932 5343 7124 7398 10686 14796 16029 21372 32058 48087 64116 96174 106219 192348 212438 318657 424876 637314 955971 1274628 1380847 1911942 2761694 2867913 3823884 4142541 5523388 5735826 8285082 11471652 12427623 14552003 16570164 24855246 29104006 37282869 43656009 49710492 58208012 74565738 87312018 130968027 149131476 174624036 189176039 261936054 378352078 392904081 523872108 567528117 756704156 785808162 1135056234 1571616324 1702584351 2270112468 3405168702 5107753053 6810337404 10215506106 20431012212