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33214631013 = 342039201107
BaseRepresentation
bin11110111011101111…
…110000110001100101
310011201210012002010000
4132323233300301211
51021010421143023
623131504451513
72254042463634
oct367357606145
9104653162100
1033214631013
11130a487a983
12652b619b99
133194387325
14187136151b
15ce5e67243
hex7bbbf0c65

33214631013 has 20 divisors (see below), whose sum is σ = 49641498720. Its totient is φ = 22132117512.

The previous prime is 33214630937. The next prime is 33214631081. The reversal of 33214631013 is 31013641233.

33214631013 is a `hidden beast` number, since 3 + 3 + 2 + 14 + 631 + 0 + 13 = 666.

It is not a de Polignac number, because 33214631013 - 210 = 33214629989 is a prime.

It is a super-2 number, since 2×332146310132 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33214631213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64606 + ... + 265712.

It is an arithmetic number, because the mean of its divisors is an integer number (2482074936).

Almost surely, 233214631013 is an apocalyptic number.

It is an amenable number.

33214631013 is a deficient number, since it is larger than the sum of its proper divisors (16426867707).

33214631013 is a wasteful number, since it uses less digits than its factorization.

33214631013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203158 (or 203149 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

It can be divided in two parts, 332 and 14631013, that added together give a triangular number (14631345 = T5409).

The spelling of 33214631013 in words is "thirty-three billion, two hundred fourteen million, six hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 27 81 2039 6117 18351 55053 165159 201107 603321 1809963 5429889 16289667 410057173 1230171519 3690514557 11071543671 33214631013