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1001100102002 = 271121361745231
BaseRepresentation
bin11101001000101100011…
…01110100100101110010
310112201000101110101201122
432210112031310211302
5112400223111231002
62043522105302242
7132220123315340
oct16442615644562
93481011411648
101001100102002
113566229aa900
1214202a494982
1373532183a80
143664c5b0990
151b09311c6a2
hexe916374972

1001100102002 has 96 divisors (see below), whose sum is σ = 2064781512192. Its totient is φ = 354133296000.

The previous prime is 1001100101983. The next prime is 1001100102011. The reversal of 1001100102002 is 2002010011001.

Adding to 1001100102002 its reverse (2002010011001), we get a palindrome (3003110113003).

1001100102002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 970727 + ... + 1715957.

It is an arithmetic number, because the mean of its divisors is an integer number (21508140752).

Almost surely, 21001100102002 is an apocalyptic number.

1001100102002 is an abundant number, since it is smaller than the sum of its proper divisors (1063681410190).

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

1001100102002 is a wasteful number, since it uses less digits than its factorization.

1001100102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745336 (or 745325 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The spelling of 1001100102002 in words is "one trillion, one billion, one hundred million, one hundred two thousand, two".

Divisors: 1 2 7 11 13 14 22 26 61 77 91 121 122 143 154 182 242 286 427 671 793 847 854 1001 1342 1573 1586 1694 2002 3146 4697 5551 7381 8723 9394 11011 11102 14762 17446 22022 51667 61061 95953 103334 122122 191906 671671 745231 1343342 1490462 5216617 8197541 9688003 10433234 16395082 19376006 45459091 57382787 67816021 90172951 90918182 106568033 114765574 135632042 180345902 213136066 318213637 500050001 590968183 631210657 636427274 745976231 1000100002 1172248363 1181936366 1262421314 1491952462 2344496726 3500350007 4136777281 5500550011 6500650013 7000700014 8205738541 8273554562 11001100022 13001300026 16411477082 38503850077 45504550091 71507150143 77007700154 91009100182 143014300286 500550051001 1001100102002