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131221011120 = 24352531216023
BaseRepresentation
bin111101000110101100…
…0011011101010110000
3110112201000111000222220
41322031120123222300
54122220034323440
6140140533401040
712323531122353
oct1721530335260
9415630430886
10131221011120
1150717926931
1221521799180
13c4b2b44714
1464cb70829a
15363014e8d0
hex1e8d61bab0

131221011120 has 80 divisors (see below), whose sum is σ = 406947739392. Its totient is φ = 34978282240.

The previous prime is 131221011067. The next prime is 131221011139. The reversal of 131221011120 is 21110122131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131221011120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499429 + ... + 715451.

Almost surely, 2131221011120 is an apocalyptic number.

131221011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221011120 is an abundant number, since it is smaller than the sum of its proper divisors (275726728272).

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

131221011120 is a wasteful number, since it uses less digits than its factorization.

131221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218570 (or 218564 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 131221011120 its reverse (21110122131), we get a palindrome (152331133251).

The spelling of 131221011120 in words is "one hundred thirty-one billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2531 5062 7593 10124 12655 15186 20248 25310 30372 37965 40496 50620 60744 75930 101240 121488 151860 202480 216023 303720 432046 607440 648069 864092 1080115 1296138 1728184 2160230 2592276 3240345 3456368 4320460 5184552 6480690 8640920 10369104 12961380 17281840 25922760 51845520 546754213 1093508426 1640262639 2187016852 2733771065 3280525278 4374033704 5467542130 6561050556 8201313195 8748067408 10935084260 13122101112 16402626390 21870168520 26244202224 32805252780 43740337040 65610505560 131221011120