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131321120 = 2557117251
BaseRepresentation
bin1111101001111…
…00110100100000
3100011002210201012
413310330310200
5232104233440
621010400052
73153132260
oct764746440
9304083635
10131321120
1168144557
1237b90028
132128bc08
14136257a0
15b7dee65
hex7d3cd20

131321120 has 48 divisors (see below), whose sum is σ = 354570048. Its totient is φ = 45024000.

The previous prime is 131321101. The next prime is 131321131. The reversal of 131321120 is 21123131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131321095 and 131321104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57506 + ... + 59745.

It is an arithmetic number, because the mean of its divisors is an integer number (7386876).

Almost surely, 2131321120 is an apocalyptic number.

131321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321120 is an abundant number, since it is smaller than the sum of its proper divisors (223248928).

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

131321120 is a wasteful number, since it uses less digits than its factorization.

131321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117273 (or 117265 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131321120 is about 11459.5427482950. The cubic root of 131321120 is about 508.2899537171.

Adding to 131321120 its reverse (21123131), we get a palindrome (152444251).

The spelling of 131321120 in words is "one hundred thirty-one million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 117251 234502 469004 586255 820757 938008 1172510 1641514 1876016 2345020 3283028 3752032 4103785 4690040 6566056 8207570 9380080 13132112 16415140 18760160 26264224 32830280 65660560 131321120