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13103131332330 = 23251314337815253
BaseRepresentation
bin1011111010101100111101…
…1111010000111011101010
31201101122110202022000221200
42332223033133100323222
53204140203110113310
643511255002545030
72521445544432564
oct276531737207352
951348422260850
1013103131332330
1141a2009048156
121577584208176
1374080a143410
143342a2cb8334
1517ac987589c0
hexbeacf7d0eea

13103131332330 has 96 divisors (see below), whose sum is σ = 36714375197136. Its totient is φ = 3223134968832.

The previous prime is 13103131332323. The next prime is 13103131332341. The reversal of 13103131332330 is 3323313130131.

13103131332330 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 313 + 13 + 3 + 2 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9030391613721 + 4072739718609 = 3005061^2 + 2018103^2 .

It is a super-3 number, since 3×131031313323303 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13103131332294 and 13103131332303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231017 + ... + 5584236.

Almost surely, 213103131332330 is an apocalyptic number.

13103131332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13103131332330 is an abundant number, since it is smaller than the sum of its proper divisors (23611243864806).

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

13103131332330 is a wasteful number, since it uses less digits than its factorization.

13103131332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816712 (or 7816709 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13103131332330 its reverse (3323313130131), we get a palindrome (16426444462461).

The spelling of 13103131332330 in words is "thirteen trillion, one hundred three billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1433 2866 4299 7165 8598 12897 14330 18629 21495 25794 37258 42990 55887 64485 93145 111774 128970 167661 186290 279435 335322 558870 838305 1676610 7815253 15630506 23445759 39076265 46891518 70337277 78152530 101598289 117228795 140674554 203196578 234457590 304794867 351686385 507991445 609589734 703372770 914384601 1015982890 1523974335 1828769202 3047948670 4571923005 9143846010 11199257549 22398515098 33597772647 55996287745 67195545294 100793317941 111992575490 145590348137 167988863235 201586635882 291180696274 335977726470 436771044411 503966589705 727951740685 873542088822 1007933179410 1310313133233 1455903481370 2183855222055 2620626266466 4367710444110 6551565666165 13103131332330