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102211002012 = 22371936304651
BaseRepresentation
bin101111100110001000…
…0000001111010011100
3100202211021000212211010
41133030100001322130
53133312004031022
6114542144255220
710245612116340
oct1371420017234
9322737025733
10102211002012
113a39049a699
1217986311510
13983b8c3a62
144d38963620
1529d33cb50c
hex17cc401e9c

102211002012 has 48 divisors (see below), whose sum is σ = 273974957312. Its totient is φ = 29051827200.

The previous prime is 102211001987. The next prime is 102211002013. The reversal of 102211002012 is 210200112201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211002013) 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 15 ways as a sum of consecutive naturals, for example, 3136114 + ... + 3168537.

Almost surely, 2102211002012 is an apocalyptic number.

102211002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211002012 is an abundant number, since it is smaller than the sum of its proper divisors (171763955300).

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

102211002012 is a wasteful number, since it uses less digits than its factorization.

102211002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304858 (or 6304856 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102211002012 its reverse (210200112201), we get a palindrome (312411114213).

The spelling of 102211002012 in words is "one hundred two billion, two hundred eleven million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2702 4053 5404 8106 16212 6304651 12609302 18913953 25218604 37827906 44132557 75655812 88265114 132397671 176530228 264795342 529590684 1216797643 2433595286 3650392929 4867190572 7300785858 8517583501 14601571716 17035167002 25552750503 34070334004 51105501006 102211002012