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102010122010 = 25195637331301
BaseRepresentation
bin101111100000001000…
…1101110111100011010
3100202022021001010021001
41133000101232330122
53132404042401020
6114510210535214
710240622505346
oct1370021567432
9322267033231
10102010122010
113a298066565
121792ab9750a
1398090bc054
144d19dd2626
1529c094b50a
hex17c046ef1a

102010122010 has 64 divisors (see below), whose sum is σ = 194038830720. Its totient is φ = 38505542400.

The previous prime is 102010122001. The next prime is 102010122013. The reversal of 102010122010 is 10221010201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102010122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78408360 + ... + 78409660.

It is an arithmetic number, because the mean of its divisors is an integer number (3031856730).

Almost surely, 2102010122010 is an apocalyptic number.

102010122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010122010 is a deficient number, since it is larger than the sum of its proper divisors (92028708710).

102010122010 is a wasteful number, since it uses less digits than its factorization.

102010122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102010122010 its reverse (10221010201), we get a palindrome (112231132211).

The spelling of 102010122010 in words is "one hundred two billion, ten million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 10 19 38 95 190 563 733 1126 1301 1466 2602 2815 3665 5630 6505 7330 10697 13010 13927 21394 24719 27854 49438 53485 69635 106970 123595 139270 247190 412679 732463 825358 953633 1464926 1907266 2063395 3662315 4126790 4768165 7324630 7840901 9536330 13916797 15681802 18119027 27833594 36238054 39204505 69583985 78409010 90595135 139167970 181190270 536895379 1073790758 2684476895 5368953790 10201012201 20402024402 51005061005 102010122010