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133333022310021 = 32172264371939033
BaseRepresentation
bin11110010100010000000011…
…011011100111111010000101
3122111002111211120111202021100
4132110100003123213322011
5114434012012202410041
61151324202253210313
740040664405662442
oct3624200333477205
9574074746452240
10133333022310021
1139536243122506
1212b549bb490999
1359523334a1cb1
1424cd4d1bb49c9
1510634705c46b6
hex7944036e7e85

133333022310021 has 36 divisors (see below), whose sum is σ = 204595345939972. Its totient is φ = 83656727921664.

The previous prime is 133333022309969. The next prime is 133333022310043. The reversal of 133333022310021 is 120013220333331.

133333022310021 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 330 + 223 + 100 + 2 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 74409359679396 + 58923662630625 = 8626086^2 + 7676175^2 .

It is not a de Polignac number, because 133333022310021 - 215 = 133333022277253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133333022310091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67793121 + ... + 69732153.

Almost surely, 2133333022310021 is an apocalyptic number.

It is an amenable number.

133333022310021 is a deficient number, since it is larger than the sum of its proper divisors (71262323629951).

133333022310021 is a wasteful number, since it uses less digits than its factorization.

133333022310021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965510 (or 1965490 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133333022310021 its reverse (120013220333331), we get a palindrome (253346242643352).

The spelling of 133333022310021 in words is "one hundred thirty-three trillion, three hundred thirty-three billion, twenty-two million, three hundred ten thousand, twenty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 26437 79311 237933 449429 1348287 1939033 4044861 5817099 7640293 17451297 22920879 32963561 68762637 98890683 296672049 560380537 1681141611 5043424833 51262215421 153786646263 461359938789 871457662157 2614372986471 7843118959413 14814780256669 44444340770007 133333022310021