Search a number
-
+
13002210234 = 2351317911497
BaseRepresentation
bin11000001101111110…
…11111101110111010
31020120010221201100000
430012333133232322
5203112031211414
65550110253430
7640130651316
oct140677375672
936503851300
1013002210234
115572454aa2
12262a4b7276
1312c2996a30
148b4b82b46
1551173bb09
hex306fdfbba

13002210234 has 96 divisors (see below), whose sum is σ = 31640656320. Its totient is φ = 3977983872.

The previous prime is 13002210229. The next prime is 13002210257. The reversal of 13002210234 is 43201220031.

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, 1125174 + ... + 1136670.

It is an arithmetic number, because the mean of its divisors is an integer number (329590170).

Almost surely, 213002210234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002210234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820328160).

13002210234 is an abundant number, since it is smaller than the sum of its proper divisors (18638446086).

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

13002210234 is a wasteful number, since it uses less digits than its factorization.

13002210234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11694 counting only the distinct ones).

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

Adding to 13002210234 its reverse (43201220031), we get a palindrome (56203430265).

The spelling of 13002210234 in words is "thirteen billion, two million, two hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 179 234 243 351 358 486 537 702 1053 1074 1611 2106 2327 3159 3222 4654 4833 6318 6981 9666 11497 13962 14499 20943 22994 28998 34491 41886 43497 62829 68982 86994 103473 125658 149461 188487 206946 298922 310419 376974 448383 565461 620838 896766 931257 1130922 1345149 1862514 2057963 2690298 2793771 4035447 4115926 5587542 6173889 8070894 12106341 12347778 18521667 24212682 26753519 36319023 37043334 53507038 55565001 72638046 80260557 111130002 160521114 166695003 240781671 333390006 481563342 500085009 722345013 1000170018 1444690026 2167035039 4334070078 6501105117 13002210234