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131130100320 = 2535273187709
BaseRepresentation
bin111101000011111110…
…1101000101001100000
3110112110200102021211020
41322013331220221200
54122023301202240
6140123525045440
712321345314322
oct1720775505140
9415420367736
10131130100320
115068058323a
12214b7256880
13c49a06404b
1464bd601612
1536271930d0
hex1e87f68a60

131130100320 has 48 divisors (see below), whose sum is σ = 413059817520. Its totient is φ = 34968026624.

The previous prime is 131130100279. The next prime is 131130100349. The reversal of 131130100320 is 23001031131.

It is a tau number, because it is divible by the number of its divisors (48).

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 131130100320.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 136593375 + ... + 136594334.

It is an arithmetic number, because the mean of its divisors is an integer number (8605412865).

Almost surely, 2131130100320 is an apocalyptic number.

131130100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130100320 is an abundant number, since it is smaller than the sum of its proper divisors (281929717200).

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

131130100320 is a wasteful number, since it uses less digits than its factorization.

131130100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273187727 (or 273187719 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131130100320 its reverse (23001031131), we get a palindrome (154131131451).

The spelling of 131130100320 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 273187709 546375418 819563127 1092750836 1365938545 1639126254 2185501672 2731877090 3278252508 4097815635 4371003344 5463754180 6556505016 8195631270 8742006688 10927508360 13113010032 16391262540 21855016720 26226020064 32782525080 43710033440 65565050160 131130100320