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13131130232310 = 2351721979713047
BaseRepresentation
bin1011111100010101010001…
…0110100101110111110110
31201111022202001011112011020
42333011110112211313312
53210120023314413220
643532205152322010
72523456435235566
oct277052426456766
951438661145136
1013131130232310
114202976763112
121580a98b43306
1374334ca6755c
1433579b65cda6
1517b886854040
hexbf1545a5df6

13131130232310 has 96 divisors (see below), whose sum is σ = 35239544259840. Its totient is φ = 3122200585728.

The previous prime is 13131130232251. The next prime is 13131130232323. The reversal of 13131130232310 is 1323203113131.

It is a super-2 number, since 2×131311302323102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 39691794 + ... + 40021253.

It is an arithmetic number, because the mean of its divisors is an integer number (367078586040).

Almost surely, 213131130232310 is an apocalyptic number.

13131130232310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131130232310 is an abundant number, since it is smaller than the sum of its proper divisors (22108414027530).

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

13131130232310 is a wasteful number, since it uses less digits than its factorization.

13131130232310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79713110 (or 79713093 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13131130232310 its reverse (1323203113131), we get a palindrome (14454333345441).

The spelling of 13131130232310 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty million, two hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 289 323 510 570 578 646 867 969 1445 1615 1734 1938 2890 3230 4335 4845 5491 8670 9690 10982 16473 27455 32946 54910 82365 164730 79713047 159426094 239139141 398565235 478278282 797130470 1195695705 1355121799 1514547893 2391391410 2710243598 3029095786 4065365397 4543643679 6775608995 7572739465 8130730794 9087287358 13551217990 15145478930 20326826985 22718218395 23037070583 25747314181 40653653970 45436436790 46074141166 51494628362 69111211749 77241942543 115185352915 128736570905 138222423498 154483885086 230370705830 257473141810 345556058745 386209712715 437704341077 691112117490 772419425430 875408682154 1313113023231 2188521705385 2626226046462 4377043410770 6565565116155 13131130232310