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13024424322 = 235721342071
BaseRepresentation
bin11000010000101000…
…01111000110000010
31020121200202022100000
430020110033012002
5203133223034242
65552222340430
7640520531400
oct141024170602
936550668300
1013024424322
115583a47848
122635a2a716
1312c7473b70
148b7ac6470
15513678a4c
hex30850f182

13024424322 has 144 divisors (see below), whose sum is σ = 36662213952. Its totient is φ = 3434931360.

The previous prime is 13024424311. The next prime is 13024424339. The reversal of 13024424322 is 22342442031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288547 + ... + 330617.

It is an arithmetic number, because the mean of its divisors is an integer number (254598708).

Almost surely, 213024424322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024424322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18331106976).

13024424322 is an abundant number, since it is smaller than the sum of its proper divisors (23637789630).

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

13024424322 is a wasteful number, since it uses less digits than its factorization.

13024424322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42115 (or 42096 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13024424322 its reverse (22342442031), we get a palindrome (35366866353).

The spelling of 13024424322 in words is "thirteen billion, twenty-four million, four hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 243 273 294 351 378 441 486 546 567 637 702 819 882 1053 1134 1274 1323 1638 1701 1911 2106 2457 2646 3159 3402 3822 3969 4914 5733 6318 7371 7938 11466 11907 14742 17199 22113 23814 34398 42071 44226 51597 84142 103194 126213 154791 252426 294497 309582 378639 546923 588994 757278 883491 1093846 1135917 1640769 1766982 2061479 2271834 2650473 3281538 3407751 3828461 4122958 4922307 5300946 6184437 6815502 7656922 7951419 9844614 10223253 11485383 12368874 14766921 15902838 18553311 20446506 22970766 23854257 26799227 29533842 34456149 37106622 44300763 47708514 53598454 55659933 68912298 71562771 80397681 88601526 103368447 111319866 132902289 143125542 160795362 166979799 206736894 241193043 265804578 310105341 333959598 482386086 500939397 620210682 723579129 930316023 1001878794 1447158258 1860632046 2170737387 4341474774 6512212161 13024424322