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102010200012 = 22337801716831
BaseRepresentation
bin101111100000001001…
…0000001111111001100
3100202022021012002021000
41133000102001333030
53132404102400022
6114510212340300
710240623251640
oct1370022017714
9322267162230
10102010200012
113a29810a126
121792b014690
1398091186c6
144d1a012c20
1529c09646ac
hex17c0481fcc

102010200012 has 96 divisors (see below), whose sum is σ = 302308106240. Its totient is φ = 29140404480.

The previous prime is 102010199969. The next prime is 102010200013. The reversal of 102010200012 is 210002010201.

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 = 102010199967 and 102010200003.

It is not an unprimeable number, because it can be changed into a prime (102010200013) 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 31 ways as a sum of consecutive naturals, for example, 6052437 + ... + 6069267.

Almost surely, 2102010200012 is an apocalyptic number.

102010200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010200012 is an abundant number, since it is smaller than the sum of its proper divisors (200297906228).

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

102010200012 is a wasteful number, since it uses less digits than its factorization.

102010200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24868 (or 24860 counting only the distinct ones).

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

Adding to 102010200012 its reverse (210002010201), we get a palindrome (312012210213).

The spelling of 102010200012 in words is "one hundred two billion, ten million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 8017 16034 16831 24051 32068 33662 48102 50493 56119 67324 72153 96204 100986 112238 117817 144306 151479 168357 201972 216459 224476 235634 288612 302958 336714 353451 432918 454437 471268 505071 605916 673428 706902 865836 908874 1010142 1060353 1413804 1515213 1817748 2020284 2120706 3030426 3181059 4241412 6060852 6362118 12724236 134934127 269868254 404802381 539736508 809604762 944538889 1214407143 1619209524 1889077778 2428814286 2833616667 3643221429 3778155556 4857628572 5667233334 7286442858 8500850001 11334466668 14572885716 17001700002 25502550003 34003400004 51005100006 102010200012