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13123521540 = 22325193837287
BaseRepresentation
bin11000011100011100…
…10000110000000100
31020212121012222011100
430032032100300010
5203334110142130
610010122340100
7643133043513
oct141616206004
936777188140
1013123521540
115624981a78
12266305a630
131311b5c77c
148c6d2067a
1551c200c60
hex30e390c04

13123521540 has 72 divisors (see below), whose sum is σ = 41903184960. Its totient is φ = 3315415104.

The previous prime is 13123521533. The next prime is 13123521547. The reversal of 13123521540 is 4512532131.

13123521540 is a `hidden beast` number, since 13 + 123 + 521 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13123521533) and next prime (13123521547).

It is a super-2 number, since 2×131235215402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123521547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1915224 + ... + 1922063.

It is an arithmetic number, because the mean of its divisors is an integer number (581988680).

Almost surely, 213123521540 is an apocalyptic number.

13123521540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123521540 is an abundant number, since it is smaller than the sum of its proper divisors (28779663420).

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

13123521540 is a wasteful number, since it uses less digits than its factorization.

13123521540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837321 (or 3837316 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13123521540 in words is "thirteen billion, one hundred twenty-three million, five hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3837287 7674574 11511861 15349148 19186435 23023722 34535583 38372870 46047444 57559305 69071166 72908453 76745740 115118610 138142332 145816906 172677915 218725359 230237220 291633812 345355830 364542265 437450718 656176077 690711660 729084530 874901436 1093626795 1312352154 1458169060 2187253590 2624704308 3280880385 4374507180 6561760770 13123521540