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131143123232 = 25113743922937
BaseRepresentation
bin111101000100010111…
…1010100000100100000
3110112111120220220220022
41322020233110010200
54122040114420412
6140125112133012
712321564104102
oct1721057240440
9415446826808
10131143123232
1150687968580
12214bb697168
13c49c973804
1464c1231572
1536283b6a72
hex1e88bd4120

131143123232 has 96 divisors (see below), whose sum is σ = 289943660160. Its totient is φ = 57864775680.

The previous prime is 131143123213. The next prime is 131143123277. The reversal of 131143123232 is 232321341131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5706068 + ... + 5729004.

It is an arithmetic number, because the mean of its divisors is an integer number (3020246460).

Almost surely, 2131143123232 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 131143123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144971830080).

131143123232 is an abundant number, since it is smaller than the sum of its proper divisors (158800536928).

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

131143123232 is a wasteful number, since it uses less digits than its factorization.

131143123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23434 (or 23426 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 131143123232 its reverse (232321341131), we get a palindrome (363464464363).

The spelling of 131143123232 in words is "one hundred thirty-one billion, one hundred forty-three million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 439 592 814 878 1184 1628 1756 3256 3512 4829 6512 7024 9658 13024 14048 16243 19316 22937 32486 38632 45874 64972 77264 91748 129944 154528 178673 183496 252307 259888 357346 366992 504614 519776 714692 733984 848669 1009228 1429384 1697338 2018456 2858768 3394676 4036912 5717536 6789352 8073824 9335359 10069343 13578704 18670718 20138686 27157408 37341436 40277372 74682872 80554744 110762773 149365744 161109488 221525546 298731488 322218976 372565691 443051092 745131382 886102184 1490262764 1772204368 2980525528 3544408736 4098222601 5961051056 8196445202 11922102112 16392890404 32785780808 65571561616 131143123232