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13013024442 = 231117311572383
BaseRepresentation
bin11000001111010001…
…01111111010111010
31020120220022010122020
430013220233322322
5203122313240232
65551134135310
7640321611525
oct140750577272
936526263566
1013013024442
115578570960
122632051536
1312c4cb2082
148b6399bbc
15512675e2c
hex307a2feba

13013024442 has 128 divisors (see below), whose sum is σ = 31242682368. Its totient is φ = 3567283200.

The previous prime is 13013024417. The next prime is 13013024477. The reversal of 13013024442 is 24442031031.

It is a super-2 number, since 2×130130244422 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5459583 + ... + 5461965.

It is an arithmetic number, because the mean of its divisors is an integer number (244083456).

Almost surely, 213013024442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013024442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621341184).

13013024442 is an abundant number, since it is smaller than the sum of its proper divisors (18229657926).

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

13013024442 is a wasteful number, since it uses less digits than its factorization.

13013024442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13013024442 its reverse (24442031031), we get a palindrome (37455055473).

The spelling of 13013024442 in words is "thirteen billion, thirteen million, twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 157 186 187 314 341 374 471 527 561 682 942 1023 1054 1122 1581 1727 2046 2383 2669 3162 3454 4766 4867 5181 5338 5797 7149 8007 9734 10362 11594 14298 14601 16014 17391 26213 29202 29359 34782 40511 52426 53537 58718 73873 78639 81022 82739 88077 107074 121533 147746 157278 160611 165478 176154 221619 243066 248217 321222 374131 443238 445621 496434 748262 812603 891242 910129 1122393 1255841 1336863 1625206 1820258 2244786 2437809 2511682 2673726 2730387 3767523 4115441 4875618 5460774 6360227 7535046 8230882 11598061 12346323 12720454 13814251 19080681 23196122 24692646 27628502 34794183 38161362 41442753 69588366 69962497 82885506 127578671 139924994 197167037 209887491 255157342 382736013 394334074 419774982 591501111 765472026 1183002222 2168837407 4337674814 6506512221 13013024442