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131221445250120 = 23357115401578081
BaseRepresentation
bin11101110101100001011111…
…101000011000110001001000
3122012121122111010201222110020
4131311201133220120301020
5114144413004441000440
61143030144424420440
736432302512056561
oct3565413750306110
9565548433658406
10131221445250120
11388a177a9a9125
1212873718617720
13582b18aaaa6b4
14245921a8dd168
151028586d323d0
hex77585fa18c48

131221445250120 has 64 divisors (see below), whose sum is σ = 399208903885440. Its totient is φ = 34499534899200.

The previous prime is 131221445250097. The next prime is 131221445250131. The reversal of 131221445250120 is 21052544122131.

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, 7700780521 + ... + 7700797560.

It is an arithmetic number, because the mean of its divisors is an integer number (6237639123210).

Almost surely, 2131221445250120 is an apocalyptic number.

131221445250120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221445250120 is an abundant number, since it is smaller than the sum of its proper divisors (267987458635320).

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

131221445250120 is a wasteful number, since it uses less digits than its factorization.

131221445250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401578166 (or 15401578162 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 131221445250120 its reverse (21052544122131), we get a palindrome (152273989372251).

The spelling of 131221445250120 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, four hundred forty-five million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 15401578081 30803156162 46204734243 61606312324 77007890405 92409468486 123212624648 154015780810 184818936972 231023671215 308031561620 369637873944 462047342430 616063123240 924094684860 1093512043751 1848189369720 2187024087502 3280536131253 4374048175004 5467560218755 6561072262506 8748096350008 10935120437510 13122144525012 16402680656265 21870240875020 26244289050024 32805361312530 43740481750040 65610722625060 131221445250120