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13131003210 = 2351333919929
BaseRepresentation
bin11000011101010101…
…10011010101001010
31020220010022002002020
430032222303111022
5203343014100320
610010550545310
7643253454123
oct141652632512
936803262066
1013131003210
115629122076
122665668236
13131357bcb0
148c7d0b04a
1551cbcc940
hex30eab354a

13131003210 has 64 divisors (see below), whose sum is σ = 33952020480. Its totient is φ = 3230968320.

The previous prime is 13131003203. The next prime is 13131003217. The reversal of 13131003210 is 1230013131.

13131003210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13131003203) and next prime (13131003217).

It is a super-3 number, since 3×131310032103 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13131003210.

It is not an unprimeable number, because it can be changed into a prime (13131003217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317526 + ... + 1327454.

It is an arithmetic number, because the mean of its divisors is an integer number (530500320).

Almost surely, 213131003210 is an apocalyptic number.

13131003210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131003210 is an abundant number, since it is smaller than the sum of its proper divisors (20821017270).

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

13131003210 is a wasteful number, since it uses less digits than its factorization.

13131003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13343.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13131003210 its reverse (1230013131), we get a palindrome (14361016341).

The spelling of 13131003210 in words is "thirteen billion, one hundred thirty-one million, three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3391 6782 9929 10173 16955 19858 20346 29787 33910 44083 49645 50865 59574 88166 99290 101730 129077 132249 148935 220415 258154 264498 297870 387231 440830 645385 661245 774462 1290770 1322490 1936155 3872310 33669239 67338478 101007717 168346195 202015434 336692390 437700107 505038585 875400214 1010077170 1313100321 2188500535 2626200642 4377001070 6565501605 13131003210