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13131321030 = 2325731998679
BaseRepresentation
bin11000011101011000…
…00000111011000110
31020220010220020001100
430032230000323012
5203343104233110
610011001440530
7643256246532
oct141654007306
936803806040
1013131321030
115629319933
1226657a0146
131313660859
148c7d90bc2
1551cc41bc0
hex30eb00ec6

13131321030 has 48 divisors (see below), whose sum is σ = 34609142880. Its totient is φ = 3453715584.

The previous prime is 13131321029. The next prime is 13131321079. The reversal of 13131321030 is 3012313131.

It is a happy number.

13131321030 is a `hidden beast` number, since 1 + 313 + 1 + 321 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13131320994 and 13131321012.

It is a congruent number.

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, 992770 + ... + 1005909.

It is an arithmetic number, because the mean of its divisors is an integer number (721023810).

Almost surely, 213131321030 is an apocalyptic number.

13131321030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131321030 is an abundant number, since it is smaller than the sum of its proper divisors (21477821850).

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

13131321030 is a wasteful number, since it uses less digits than its factorization.

13131321030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998765 (or 1998762 counting only the distinct ones).

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

Adding to 13131321030 its reverse (3012313131), we get a palindrome (16143634161).

The spelling of 13131321030 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 1998679 3997358 5996037 9993395 11992074 17988111 19986790 29980185 35976222 59960370 89940555 145903567 179881110 291807134 437710701 729517835 875421402 1313132103 1459035670 2188553505 2626264206 4377107010 6565660515 13131321030