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122110102002 = 23724389108529
BaseRepresentation
bin111000110111001010…
…1000100100111110010
3102200012001200220021110
41301232111010213302
54000040141231002
6132032511134150
711552000512200
oct1615625044762
9380161626243
10122110102002
1147871a72a79
121b7ba514356
13b690401335
145ca56a2070
15329a365e6c
hex1c6e5449f2

122110102002 has 96 divisors (see below), whose sum is σ = 293968699200. Its totient is φ = 33694036992.

The previous prime is 122110102001. The next prime is 122110102021. The reversal of 122110102002 is 200201011221.

It is not an unprimeable number, because it can be changed into a prime (122110102001) 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 47 ways as a sum of consecutive naturals, for example, 1070874 + ... + 1179402.

It is an arithmetic number, because the mean of its divisors is an integer number (3062173950).

Almost surely, 2122110102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122110102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146984349600).

122110102002 is an abundant number, since it is smaller than the sum of its proper divisors (171858597198).

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

122110102002 is a wasteful number, since it uses less digits than its factorization.

122110102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108680 (or 108673 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122110102002 its reverse (200201011221), we get a palindrome (322311113223).

The spelling of 122110102002 in words is "one hundred twenty-two billion, one hundred ten million, one hundred two thousand, two".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 89 98 129 147 178 258 267 294 301 534 602 623 903 1246 1806 1869 2107 3738 3827 4214 4361 6321 7654 8722 11481 12642 13083 22962 26166 26789 53578 80367 108529 160734 187523 217058 325587 375046 562569 651174 759703 1125138 1519406 2279109 4558218 4666747 5317921 9333494 9659081 10635842 14000241 15953763 19318162 28000482 28977243 31907526 32667229 57954486 65334458 67613567 98001687 135227134 196003374 202840701 228670603 405681402 415340483 457341206 473294969 686011809 830680966 946589938 1246021449 1372023618 1419884907 2492042898 2839769814 2907383381 5814766762 8722150143 17444300286 20351683667 40703367334 61055051001 122110102002