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13131332010 = 234567241963
BaseRepresentation
bin11000011101011000…
…00011100110101010
31020220010220210010000
430032230003212222
5203343110111020
610011002003430
7643256323536
oct141654034652
936803823100
1013131332010
115629327105
1226657a6576
131313665854
148c7d94bc6
1551cc45090
hex30eb039aa

13131332010 has 80 divisors (see below), whose sum is σ = 35835836256. Its totient is φ = 3449410272.

The previous prime is 13131331973. The next prime is 13131332023. The reversal of 13131332010 is 1023313131.

It is a happy number.

13131332010 is a `hidden beast` number, since 1 + 31 + 313 + 320 + 1 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 66712 + ... + 175251.

Almost surely, 213131332010 is an apocalyptic number.

13131332010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131332010 is an abundant number, since it is smaller than the sum of its proper divisors (22704504246).

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

13131332010 is a wasteful number, since it uses less digits than its factorization.

13131332010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242049 (or 242040 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131332010 its reverse (1023313131), we get a palindrome (14154645141).

The spelling of 13131332010 in words is "thirteen billion, one hundred thirty-one million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 270 335 402 405 603 670 810 1005 1206 1809 2010 3015 3618 5427 6030 9045 10854 18090 27135 54270 241963 483926 725889 1209815 1451778 2177667 2419630 3629445 4355334 6533001 7258890 10888335 13066002 16211521 19599003 21776670 32423042 32665005 39198006 48634563 65330010 81057605 97269126 97995015 145903689 162115210 195990030 243172815 291807378 437711067 486345630 729518445 875422134 1313133201 1459036890 2188555335 2626266402 4377110670 6565666005 13131332010