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131202144 = 25321923977
BaseRepresentation
bin1111101000111…
…11110001100000
3100010212202111200
413310133301200
5232041432034
621004041200
73152125353
oct764376140
9303782450
10131202144
1168073127
1237b33200
1321249a08
14135d429a
15b7b9a99
hex7d1fc60

131202144 has 72 divisors (see below), whose sum is σ = 392759640. Its totient is φ = 41430528.

The previous prime is 131202139. The next prime is 131202151. The reversal of 131202144 is 441202131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6517 + ... + 17460.

It is an arithmetic number, because the mean of its divisors is an integer number (5454995).

Almost surely, 2131202144 is an apocalyptic number.

It is an amenable number.

131202144 is an abundant number, since it is smaller than the sum of its proper divisors (261557496).

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

131202144 is a wasteful number, since it uses less digits than its factorization.

131202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24012 (or 24001 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131202144 is about 11454.3504398984. The cubic root of 131202144 is about 508.1364049763.

Adding to 131202144 its reverse (441202131), we get a palindrome (572404275).

The spelling of 131202144 in words is "one hundred thirty-one million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 23977 47954 71931 95908 143862 191816 215793 287724 383632 431586 455563 575448 767264 863172 911126 1150896 1366689 1726344 1822252 2301792 2733378 3452688 3644504 4100067 5466756 6905376 7289008 8200134 10933512 14578016 16400268 21867024 32800536 43734048 65601072 131202144