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131143033240 = 23529198756897
BaseRepresentation
bin111101000100010111…
…0111110000110011000
3110112111120202100110021
41322020232332012120
54122040104030430
6140125110200224
712321563250532
oct1721056760630
9415446670407
10131143033240
11506879069aa
12214bb653074
13c49c94186b
1464c120a852
15362839a07a
hex1e88bbe198

131143033240 has 64 divisors (see below), whose sum is σ = 305405704800. Its totient is φ = 50621964288.

The previous prime is 131143033223. The next prime is 131143033249. The reversal of 131143033240 is 42330341131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143033249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2276472 + ... + 2333368.

Almost surely, 2131143033240 is an apocalyptic number.

131143033240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131143033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152702852400).

131143033240 is an abundant number, since it is smaller than the sum of its proper divisors (174262671560).

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

131143033240 is a wasteful number, since it uses less digits than its factorization.

131143033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58924 (or 58920 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 131143033240 its reverse (42330341131), we get a palindrome (173473374371).

The spelling of 131143033240 in words is "one hundred thirty-one billion, one hundred forty-three million, thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1987 3974 7948 9935 15896 19870 39740 56897 57623 79480 113794 115246 227588 230492 284485 288115 455176 460984 568970 576230 1137940 1152460 1650013 2275880 2304920 3300026 6600052 8250065 13200104 16500130 33000260 66000520 113054339 226108678 452217356 565271695 904434712 1130543390 2261086780 3278575831 4522173560 6557151662 13114303324 16392879155 26228606648 32785758310 65571516620 131143033240