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232130013435 = 365487130769
BaseRepresentation
bin1101100000110000000…
…1101110100011111011
3211012011112120111000000
43120030001232203323
512300400240412220
6254350011444043
722525253362365
oct3301401564373
9735145514000
10232130013435
118a49a382911
1238ba3a56623
1318b74a80248
14b341389d35
156089093390
hex360c06e8fb

232130013435 has 56 divisors (see below), whose sum is σ = 418503754080. Its totient is φ = 123547514112.

The previous prime is 232130013433. The next prime is 232130013473. The reversal of 232130013435 is 534310031232.

232130013435 is a `hidden beast` number, since 2 + 3 + 213 + 0 + 0 + 13 + 435 = 666.

232130013435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232130013435 - 21 = 232130013433 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 232130013399 and 232130013408.

It is not an unprimeable number, because it can be changed into a prime (232130013433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1709731 + ... + 1840499.

Almost surely, 2232130013435 is an apocalyptic number.

232130013435 is a deficient number, since it is larger than the sum of its proper divisors (186373740645).

232130013435 is an equidigital number, since it uses as much as digits as its factorization.

232130013435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131279 (or 131264 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 232130013435 its reverse (534310031232), we get a palindrome (766440044667).

The spelling of 232130013435 in words is "two hundred thirty-two billion, one hundred thirty million, thirteen thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 487 729 1215 1461 2435 3645 4383 7305 13149 21915 39447 65745 118341 130769 197235 355023 392307 591705 653845 1176921 1775115 1961535 3530763 5884605 10592289 17653815 31776867 52961445 63684503 95330601 158884335 191053509 318422515 476653005 573160527 955267545 1719481581 2865802635 5158444743 8597407905 15475334229 25792223715 46426002687 77376671145 232130013435