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131331050444 = 221153678091039
BaseRepresentation
bin111101001001111110…
…0001100101111001100
3110112222200112121120102
41322103330030233030
54122431222103234
6140155504110232
712326335336616
oct1722374145714
9415880477512
10131331050444
1150773a55020
1221552605378
13c4cc891949
1464dc18ddb6
153639b38c7e
hex1e93f0cbcc

131331050444 has 96 divisors (see below), whose sum is σ = 259836595200. Its totient is φ = 57568642560.

The previous prime is 131331050381. The next prime is 131331050447. The reversal of 131331050444 is 444050133131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131331050447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126400877 + ... + 126401915.

It is an arithmetic number, because the mean of its divisors is an integer number (2706631200).

Almost surely, 2131331050444 is an apocalyptic number.

It is an amenable number.

131331050444 is a deficient number, since it is larger than the sum of its proper divisors (128505544756).

131331050444 is a wasteful number, since it uses less digits than its factorization.

131331050444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 131331050444 its reverse (444050133131), we get a palindrome (575381183575).

The spelling of 131331050444 in words is "one hundred thirty-one billion, three hundred thirty-one million, fifty thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 53 67 106 134 212 268 583 737 809 1039 1166 1474 1618 2078 2332 2948 3236 3551 4156 7102 8899 11429 14204 17798 22858 35596 39061 42877 45716 54203 55067 69613 78122 85754 108406 110134 139226 156244 171508 216812 220268 278452 471647 596233 605737 765743 840551 943294 1192466 1211474 1531486 1681102 1886588 2384932 2422948 2872759 3062972 3362204 3689489 5745518 7378978 9246061 11491036 14757956 18492122 31600349 36984244 40584379 44549203 56316917 63200698 81168758 89098406 112633834 126401396 162337516 178196812 225267668 490041233 619486087 980082466 1238972174 1960164932 2477944348 2984796601 5969593202 11939186404 32832762611 65665525222 131331050444