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232133013 = 33719127509
BaseRepresentation
bin11011101011000…
…01000110010101
3121011210120122000
431311201012111
5433411224023
635011225513
75516045430
oct1565410625
9534716560
10232133013
1110a03aa72
12658a8299
1339128118
1422b88817
15155a5243
hexdd61195

232133013 has 64 divisors (see below), whose sum is σ = 417792000. Its totient is φ = 124431552.

The previous prime is 232132987. The next prime is 232133029. The reversal of 232133013 is 310331232.

232133013 is a `hidden beast` number, since 2 + 321 + 330 + 13 = 666.

232133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-232133013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232133063) 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, 455803 + ... + 456311.

It is an arithmetic number, because the mean of its divisors is an integer number (6528000).

Almost surely, 2232133013 is an apocalyptic number.

It is an amenable number.

232133013 is a deficient number, since it is larger than the sum of its proper divisors (185658987).

232133013 is a wasteful number, since it uses less digits than its factorization.

232133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 232133013 is about 15235.9119517015. The cubic root of 232133013 is about 614.5807731843.

Adding to 232133013 its reverse (310331232), we get a palindrome (542464245).

The spelling of 232133013 in words is "two hundred thirty-two million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 127 133 171 189 381 399 509 513 889 1143 1197 1527 2413 2667 3429 3563 3591 4581 7239 8001 9671 10689 13743 16891 21717 24003 29013 32067 50673 64643 65151 67697 87039 96201 152019 193929 203091 261117 452501 456057 581787 609273 1228217 1357503 1745361 1827819 3684651 4072509 8597519 11053953 12217527 25792557 33161859 77377671 232133013