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133032444114031 = 71119891278044879
BaseRepresentation
bin11110001111111000000111…
…100100110011010001101111
3122110000202222202121022201221
4132033320013210303101233
5114414100421143122111
61150534132223244211
740010163660322360
oct3617700744632157
9573022882538657
10133032444114031
113942a81960aa90
1212b066b4449667
13592cba09400a7
1424bcb39d63b67
15105a72c2a3371
hex78fe0793346f

133032444114031 has 64 divisors (see below), whose sum is σ = 177939873792000. Its totient is φ = 96337735845120.

The previous prime is 133032444114013. The next prime is 133032444114043. The reversal of 133032444114031 is 130411444230331.

It is not a de Polignac number, because 133032444114031 - 27 = 133032444113903 is a prime.

It is a super-2 number, since 2×1330324441140312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032444114131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12513850 + ... + 20558728.

It is an arithmetic number, because the mean of its divisors is an integer number (2780310528000).

Almost surely, 2133032444114031 is an apocalyptic number.

133032444114031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133032444114031 is a deficient number, since it is larger than the sum of its proper divisors (44907429677969).

133032444114031 is a wasteful number, since it uses less digits than its factorization.

133032444114031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045132.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 133032444114031 its reverse (130411444230331), we get a palindrome (263443888344362).

The spelling of 133032444114031 in words is "one hundred thirty-three trillion, thirty-two billion, four hundred forty-four million, one hundred fourteen thousand, thirty-one".

Divisors: 1 7 11 19 77 89 127 133 209 623 889 979 1397 1463 1691 2413 6853 9779 11303 11837 16891 18601 26543 79121 124333 130207 185801 214757 870331 1503299 2362327 8044879 16536289 56314153 88493669 152852701 619455683 715994231 1021699633 1069968907 1681379711 5011959617 7151897431 7875936541 11238695963 11769657977 13603890389 19412293027 55131555787 78670871741 90931267337 95227232723 135886051189 149642794279 213535223297 636518871359 1000243940707 1047499559953 1494746563079 1727694079403 7001707584949 12093858555821 19004634873433 133032444114031