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13002000132 = 22311834912417
BaseRepresentation
bin11000001101111101…
…01100011100000100
31020120010120001010110
430012332230130010
5203112003001012
65550101553020
7640126114632
oct140676543404
936503501113
1013002000132
115572321160
12262a415770
1312c2922204
148b4b2a352
155116e973c
hex306fac704

13002000132 has 96 divisors (see below), whose sum is σ = 33576850944. Its totient is φ = 3882995200.

The previous prime is 13002000113. The next prime is 13002000149. The reversal of 13002000132 is 23100020031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5378188 + ... + 5380604.

It is an arithmetic number, because the mean of its divisors is an integer number (349758864).

Almost surely, 213002000132 is an apocalyptic number.

13002000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788425472).

13002000132 is an abundant number, since it is smaller than the sum of its proper divisors (20574850812).

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

13002000132 is a wasteful number, since it uses less digits than its factorization.

13002000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13002000132 its reverse (23100020031), we get a palindrome (36102020163).

The spelling of 13002000132 in words is "thirteen billion, two million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 491 498 913 982 996 1473 1826 1964 2417 2739 2946 3652 4834 5401 5478 5892 7251 9668 10802 10956 14502 16203 21604 26587 29004 32406 40753 53174 64812 79761 81506 106348 122259 159522 163012 200611 244518 319044 401222 448283 489036 601833 802444 896566 1186747 1203666 1344849 1793132 2206721 2373494 2407332 2689698 3560241 4413442 4746988 5379396 6620163 7120482 8826884 13054217 13240326 14240964 26108434 26480652 39162651 52216868 78325302 98500001 156650604 197000002 295500003 394000004 591000006 1083500011 1182000012 2167000022 3250500033 4334000044 6501000066 13002000132