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235420320132 = 22335717381287
BaseRepresentation
bin1101101101000000100…
…1010000000110000100
3211111122211212101021000
43123100021100012010
512324120100221012
6300052310253300
723002635463314
oct3332011200604
9744584771230
10235420320132
11909286a6a48
1239761957230
131927a64a49a
14b574361444
1561ccd7dddc
hex36d0250184

235420320132 has 48 divisors (see below), whose sum is σ = 610457339520. Its totient is φ = 78459507936.

The previous prime is 235420320131. The next prime is 235420320133. The reversal of 235420320132 is 231023024532.

235420320132 is a `hidden beast` number, since 2 + 3 + 5 + 420 + 3 + 201 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (235420320131) and next prime (235420320133).

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 = 235420320096 and 235420320105.

It is not an unprimeable number, because it can be changed into a prime (235420320131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426793 + ... + 808079.

It is an arithmetic number, because the mean of its divisors is an integer number (12717861240).

Almost surely, 2235420320132 is an apocalyptic number.

It is an amenable number.

235420320132 is an abundant number, since it is smaller than the sum of its proper divisors (375037019388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

235420320132 is a wasteful number, since it uses less digits than its factorization.

235420320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387017 (or 387009 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 235420320132 its reverse (231023024532), we get a palindrome (466443344664).

The spelling of 235420320132 in words is "two hundred thirty-five billion, four hundred twenty million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 5717 11434 17151 22868 34302 51453 68604 102906 154359 205812 308718 381287 617436 762574 1143861 1525148 2287722 3431583 4575444 6863166 10294749 13726332 20589498 41178996 2179817779 4359635558 6539453337 8719271116 13078906674 19618360011 26157813348 39236720022 58855080033 78473440044 117710160066 235420320132