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131131243144 = 231119431181967
BaseRepresentation
bin111101000100000000…
…1111111101010001000
3110112110202120100111001
41322020001333222020
54122024044240034
6140124005344344
712321361114216
oct1721001775210
9415422510431
10131131243144
1150681193920
12214b77080b4
13c49a374285
1464bd81bcb6
15362731ba14
hex1e8807fa88

131131243144 has 64 divisors (see below), whose sum is σ = 282996633600. Its totient is φ = 56336673600.

The previous prime is 131131243141. The next prime is 131131243151. The reversal of 131131243144 is 441342131131.

It is not an unprimeable number, because it can be changed into a prime (131131243141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629649 + ... + 811615.

It is an arithmetic number, because the mean of its divisors is an integer number (4421822400).

Almost surely, 2131131243144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131131243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141498316800).

131131243144 is an abundant number, since it is smaller than the sum of its proper divisors (151865390456).

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

131131243144 is a wasteful number, since it uses less digits than its factorization.

131131243144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182434 (or 182430 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

Adding to 131131243144 its reverse (441342131131), we get a palindrome (572473374275).

The spelling of 131131243144 in words is "one hundred thirty-one billion, one hundred thirty-one million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 431 836 862 1672 1724 3448 4741 8189 9482 16378 18964 32756 37928 65512 90079 180158 181967 360316 363934 720632 727868 1455736 2001637 3457373 4003274 6914746 8006548 13829492 16013096 27658984 38031103 76062206 78427777 152124412 156855554 304248824 313711108 627422216 862705547 1490127763 1725411094 2980255526 3450822188 5960511052 6901644376 11921022104 16391405393 32782810786 65565621572 131131243144