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13121013132 = 22321932836673
BaseRepresentation
bin11000011100001001…
…01100010110001100
31020212102111112021100
430032010230112030
5203332434410012
610005552503100
7643102525413
oct141604542614
936772445240
1013121013132
115623519407
12266224aa90
131311491ac6
148c686a47a
1551bda78dc
hex30e12c58c

13121013132 has 72 divisors (see below), whose sum is σ = 33461674064. Its totient is φ = 4334985216.

The previous prime is 13121013107. The next prime is 13121013173. The reversal of 13121013132 is 23131012131.

It is a super-2 number, since 2×131210131322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962948 + ... + 1969620.

Almost surely, 213121013132 is an apocalyptic number.

13121013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121013132 is an abundant number, since it is smaller than the sum of its proper divisors (20340660932).

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

13121013132 is a wasteful number, since it uses less digits than its factorization.

13121013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13121013132 its reverse (23131012131), we get a palindrome (36252025263).

The spelling of 13121013132 in words is "thirteen billion, one hundred twenty-one million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 193 283 386 566 579 772 849 1132 1158 1698 1737 2316 2547 3396 3474 5094 6673 6948 10188 13346 20019 26692 40038 54619 60057 80076 109238 120114 163857 218476 240228 327714 491571 655428 983142 1287889 1888459 1966284 2575778 3776918 3863667 5151556 5665377 7553836 7727334 11330754 11591001 15454668 16996131 22661508 23182002 33992262 46364004 67984524 364472587 728945174 1093417761 1457890348 2186835522 3280253283 4373671044 6560506566 13121013132