Search a number
-
+
102104243570322 = 232731104924919313
BaseRepresentation
bin10111001101110011111111…
…001010110000011010010010
3111101112001220021211102121200
4113031303333022300122102
5101340333442323222242
61001054013021132030
730335534224315050
oct2715637712603222
9441461807742550
10102104243570322
112a596191709274
12b5505a06ba016
1344c850940c3b6
141b2dc2c15b1d0
15bc0e7432104c
hex5cdcff2b0692

102104243570322 has 96 divisors (see below), whose sum is σ = 261234152524800. Its totient is φ = 28204674094080.

The previous prime is 102104243570299. The next prime is 102104243570333. The reversal of 102104243570322 is 223075342401201.

102104243570322 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 42 + 43 + 570 + 3 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8362263 + ... + 16557050.

It is an arithmetic number, because the mean of its divisors is an integer number (2721189088800).

Almost surely, 2102104243570322 is an apocalyptic number.

102104243570322 is an abundant number, since it is smaller than the sum of its proper divisors (159129908954478).

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

102104243570322 is a wasteful number, since it uses less digits than its factorization.

102104243570322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24920408 (or 24920405 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 102104243570322 its reverse (223075342401201), we get a palindrome (325179585971523).

The spelling of 102104243570322 in words is "one hundred two trillion, one hundred four billion, two hundred forty-three million, five hundred seventy thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1049 1302 1953 2098 3147 3906 6294 7343 9441 14686 18882 22029 32519 44058 65038 66087 97557 132174 195114 227633 292671 455266 585342 682899 1365798 2048697 4097394 24919313 49838626 74757939 149515878 174435191 224273817 348870382 448547634 523305573 772498703 1046611146 1544997406 1569916719 2317496109 3139833438 4634992218 5407490921 6952488327 10814981842 13904976654 16222472763 26140359337 32444945526 48667418289 52280718674 78421078011 97334836578 156842156022 182982515359 235263234033 365965030718 470526468066 548947546077 810351139447 1097895092154 1620702278894 1646842638231 2431053418341 3293685276462 4862106836682 5672457976129 7293160255023 11344915952258 14586320510046 17017373928387 34034747856774 51052121785161 102104243570322