Search a number
-
+
13131230202024 = 23311107209463949
BaseRepresentation
bin1011111100010101101001…
…0011111100100010101000
31201111100000000021111211020
42333011122103330202220
53210120224412431044
643532223123132440
72523462061043514
oct277053223744250
951440000244736
1013131230202024
114202a18133910
121580b06514120
1374336769a32c
143357aaa43144
1517b8904eea19
hexbf15a4fc8a8

13131230202024 has 64 divisors (see below), whose sum is σ = 35812857240000. Its totient is φ = 3979114974720.

The previous prime is 13131230201993. The next prime is 13131230202067. The reversal of 13131230202024 is 42020203213131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13131230201985 and 13131230202003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28071202 + ... + 28535150.

It is an arithmetic number, because the mean of its divisors is an integer number (559575894375).

Almost surely, 213131230202024 is an apocalyptic number.

It is an amenable number.

13131230202024 is an abundant number, since it is smaller than the sum of its proper divisors (22681627037976).

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

13131230202024 is a wasteful number, since it uses less digits than its factorization.

13131230202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571178 (or 571174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13131230202024 its reverse (42020203213131), we get a palindrome (55151433415155).

The spelling of 13131230202024 in words is "thirteen trillion, one hundred thirty-one billion, two hundred thirty million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 107209 214418 321627 428836 463949 643254 857672 927898 1179299 1286508 1391847 1855796 2358598 2573016 2783694 3537897 3711592 4717196 5103439 5567388 7075794 9434392 10206878 11134776 14151588 15310317 20413756 28303176 30620634 40827512 61241268 122482536 49739508341 99479016682 149218525023 198958033364 298437050046 397916066728 547134591751 596874100092 1094269183502 1193748200184 1641403775253 2188538367004 3282807550506 4377076734008 6565615101012 13131230202024