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13132311210 = 2325373943637
BaseRepresentation
bin11000011101011111…
…10010101010101010
31020220012202112022200
430032233302222222
5203343332424320
610011035001030
7643300542414
oct141657625252
936805675280
1013132311210
115629935867
122665b99176
131313919465
148c816b9b4
1551cd8a290
hex30ebf2aaa

13132311210 has 48 divisors (see below), whose sum is σ = 35066829096. Its totient is φ = 3407301504.

The previous prime is 13132311209. The next prime is 13132311217. The reversal of 13132311210 is 1211323131.

13132311210 is a `hidden beast` number, since 1 + 313 + 231 + 121 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10778800041 + 2353511169 = 103821^2 + 48513^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13132311217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968489 + ... + 1975148.

Almost surely, 213132311210 is an apocalyptic number.

13132311210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13132311210 is an abundant number, since it is smaller than the sum of its proper divisors (21934517886).

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

13132311210 is a wasteful number, since it uses less digits than its factorization.

13132311210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943687 (or 3943684 counting only the distinct ones).

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

Adding to 13132311210 its reverse (1211323131), we get a palindrome (14343634341).

The spelling of 13132311210 in words is "thirteen billion, one hundred thirty-two million, three hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3943637 7887274 11830911 19718185 23661822 35492733 39436370 59154555 70985466 118309110 145914569 177463665 291829138 354927330 437743707 729572845 875487414 1313231121 1459145690 2188718535 2626462242 4377437070 6566155605 13132311210