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133434401121 = 3275983432511
BaseRepresentation
bin111110001000101001…
…1110110000101100001
3110202102021100220021100
41330101103312011201
54141233201313441
6141144322145013
712432425460420
oct1742123660541
9422367326240
10133434401121
115165327156a
1221a3aab2169
13c776583948
14665b66d2b7
15370e613cb6
hex1f114f6161

133434401121 has 48 divisors (see below), whose sum is σ = 226705489920. Its totient is φ = 74052632160.

The previous prime is 133434401119. The next prime is 133434401131. The reversal of 133434401121 is 121104434331.

133434401121 is a `hidden beast` number, since 133 + 4 + 3 + 4 + 401 + 121 = 666.

It is not a de Polignac number, because 133434401121 - 21 = 133434401119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133434401131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92256 + ... + 524766.

It is an arithmetic number, because the mean of its divisors is an integer number (4723031040).

Almost surely, 2133434401121 is an apocalyptic number.

It is an amenable number.

133434401121 is a deficient number, since it is larger than the sum of its proper divisors (93271088799).

133434401121 is a wasteful number, since it uses less digits than its factorization.

133434401121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432666 (or 432663 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133434401121 its reverse (121104434331), we get a palindrome (254538835452).

The spelling of 133434401121 in words is "one hundred thirty-three billion, four hundred thirty-four million, four hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 59 63 83 177 249 413 531 581 747 1239 1743 3717 4897 5229 14691 34279 44073 102837 308511 432511 1297533 3027577 3892599 9082731 25518149 27248193 35898413 76554447 107695239 178627043 229663341 251288891 323085717 535881129 753866673 1607643387 2118006367 2261600019 6354019101 14826044569 19062057303 44478133707 133434401121