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102122112211002 = 23213739075904979
BaseRepresentation
bin10111001110000100101000…
…001110001101100000111010
3111101120210000120211102112100
4113032010220032031200322
5101341132041211223002
61001110130052124230
730340036066255302
oct2716045016154072
9441523016742470
10102122112211002
112a5a2821030504
12b553b48906676
1344ca0c6369570
141b30a45352602
15bc166cdcd11c
hex5ce12838d83a

102122112211002 has 48 divisors (see below), whose sum is σ = 238288192964640. Its totient is φ = 31421757892896.

The previous prime is 102122112210973. The next prime is 102122112211039. The reversal of 102122112211002 is 200112211221201.

102122112211002 is a `hidden beast` number, since 10 + 212 + 211 + 221 + 10 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14341749 + ... + 20246727.

It is an arithmetic number, because the mean of its divisors is an integer number (4964337353430).

Almost surely, 2102122112211002 is an apocalyptic number.

102122112211002 is an abundant number, since it is smaller than the sum of its proper divisors (136166080753638).

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

102122112211002 is a wasteful number, since it uses less digits than its factorization.

102122112211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978907 (or 5978904 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122112211002 its reverse (200112211221201), we get a palindrome (302234323432203).

The spelling of 102122112211002 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 73907 147814 221721 443442 665163 960791 1330326 1921582 2882373 5764746 5904979 8647119 11809958 17294238 17714937 35429874 53144811 76764727 106289622 153529454 230294181 460588362 690882543 1381765086 436419282953 872838565906 1309257848859 2618515697718 3927773546577 5673450678389 7855547093154 11346901356778 17020352035167 34040704070334 51061056105501 102122112211002