Search a number
-
+
131221332111210 = 235111966653313991
BaseRepresentation
bin11101110101100001011000…
…111000110010111101101010
3122012121122012020211221001020
4131311201120320302331222
5114144412242010024320
61143030125303433310
736432266636312535
oct3565413070627552
9565548166757036
10131221332111210
11388a17220531a0
12128736a6755836
13582b1705166b3
14245920988ba1c
15102857be34940
hex775858e32f6a

131221332111210 has 128 divisors (see below), whose sum is σ = 361650057431040. Its totient is φ = 30136408531200.

The previous prime is 131221332111173. The next prime is 131221332111211. The reversal of 131221332111210 is 12111233122131.

It is not an unprimeable number, because it can be changed into a prime (131221332111211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417757315 + ... + 418071305.

It is an arithmetic number, because the mean of its divisors is an integer number (2825391073680).

Almost surely, 2131221332111210 is an apocalyptic number.

131221332111210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131221332111210 is an abundant number, since it is smaller than the sum of its proper divisors (230428725319830).

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

131221332111210 is a wasteful number, since it uses less digits than its factorization.

131221332111210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380684.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131221332111210 its reverse (12111233122131), we get a palindrome (143332565233341).

The spelling of 131221332111210 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred thirty-two million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 66653 133306 199959 313991 333265 399918 627982 666530 733183 941973 999795 1266407 1466366 1569955 1883946 1999590 2199549 2532814 3139910 3453901 3665915 3799221 4399098 4709865 5965829 6332035 6907802 7331830 7598442 9419730 10361703 10997745 11931658 12664070 13930477 17269505 17897487 18996105 20723406 21995490 27860954 29829145 34539010 35794974 37992210 41791431 51808515 59658290 65624119 69652385 83582862 89487435 103617030 131248238 139304770 178974870 196872357 208957155 328120595 393744714 417914310 656241190 984361785 1968723570 20928442123 41856884246 62785326369 104642210615 125570652738 209284421230 230212863353 313926631845 397640400337 460425726706 627853263690 690638590059 795280800674 1151064316765 1192921201011 1381277180118 1988202001685 2302128633530 2385842402022 3453192950295 3976404003370 4374044403707 5964606005055 6906385900590 8748088807414 11929212010110 13122133211121 21870222018535 26244266422242 43740444037070 65610666055605 131221332111210