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102130202032002 = 232196110347529257
BaseRepresentation
bin10111001110001100001010…
…011010011011011110000010
3111101121112220101020220200100
4113032030022122123132002
5101341300123210011002
61001113544521103230
730340443420514254
oct2716141232333602
9441545811226610
10102130202032002
112a5a61a2577791
12b555626027b16
1344caab539acb1
141b311b191bcd4
15bc199321c11c
hex5ce30a69b782

102130202032002 has 96 divisors (see below), whose sum is σ = 239045551355520. Its totient is φ = 31414937045760.

The previous prime is 102130202031917. The next prime is 102130202032039. The reversal of 102130202032002 is 200230202031201.

102130202032002 is a `hidden beast` number, since 1 + 0 + 21 + 302 + 0 + 20 + 320 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21615843 + ... + 25913414.

It is an arithmetic number, because the mean of its divisors is an integer number (2490057826620).

Almost surely, 2102130202032002 is an apocalyptic number.

102130202032002 is an abundant number, since it is smaller than the sum of its proper divisors (136915349323518).

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

102130202032002 is a wasteful number, since it uses less digits than its factorization.

102130202032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47529448 (or 47529445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102130202032002 its reverse (200230202031201), we get a palindrome (302360404063203).

The spelling of 102130202032002 in words is "one hundred two trillion, one hundred thirty billion, two hundred two million, thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 61 103 114 122 171 183 206 309 342 366 549 618 927 1098 1159 1854 1957 2318 3477 3914 5871 6283 6954 10431 11742 12566 17613 18849 20862 35226 37698 56547 113094 119377 238754 358131 716262 1074393 2148786 47529257 95058514 142587771 285175542 427763313 855526626 903055883 1806111766 2709167649 2899284677 4895513471 5418335298 5798569354 8127502947 8697854031 9791026942 14686540413 16255005894 17395708062 26093562093 29373080826 44059621239 52187124186 55086408863 88119242478 93014755949 110172817726 165259226589 186029511898 279044267847 298626321731 330518453178 495777679767 558088535694 597252643462 837132803541 895878965193 991555359534 1674265607082 1791757930386 2687636895579 5375273791158 5673900112889 11347800225778 17021700338667 34043400677334 51065101016001 102130202032002