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101961430596 = 223219228012
BaseRepresentation
bin101111011110101011…
…1111111011001000100
3100202011212102100012100
41132331113333121010
53132304111234341
6114501311152100
710236461601024
oct1367527773104
9322155370170
10101961430596
113a272629a23
1217916815630
1397cbca146c
144d13759a84
1529bb52e3b6
hex17bd5ff644

101961430596 has 81 divisors (see below), whose sum is σ = 272111980413. Its totient is φ = 32186851200.

The previous prime is 101961430583. The next prime is 101961430607. The reversal of 101961430596 is 695034169101.

The square root of 101961430596 is 319314.

It is a perfect power (a square), and thus also a powerful number.

101961430596 is a `hidden beast` number, since 1 + 0 + 19 + 6 + 1 + 43 + 0 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52035996996 + 49925433600 = 228114^2 + 223440^2 .

It is a super-2 number, since 2×1019614305962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36400396 + ... + 36403196.

Almost surely, 2101961430596 is an apocalyptic number.

101961430596 is the 319314-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101961430596

101961430596 is an abundant number, since it is smaller than the sum of its proper divisors (170150549817).

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

101961430596 is an equidigital number, since it uses as much as digits as its factorization.

101961430596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

Adding to 101961430596 its reverse (695034169101), we get a palindrome (796995599697).

The spelling of 101961430596 in words is "one hundred one billion, nine hundred sixty-one million, four hundred thirty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2801 3249 4332 5602 6498 8403 11204 12996 16806 25209 33612 50418 53219 100836 106438 159657 212876 319314 478971 638628 957942 1011161 1915884 2022322 3033483 4044644 6066966 7845601 9100449 12133932 15691202 18200898 23536803 31382404 36401796 47073606 70610409 94147212 141220818 149066419 282441636 298132838 447199257 596265676 894398514 1341597771 1788797028 2683195542 2832261961 5366391084 5664523922 8496785883 11329047844 16993571766 25490357649 33987143532 50980715298 101961430596