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9242320131 = 331122828993
BaseRepresentation
bin10001001101110001…
…01001110100000011
3212212010001111202000
420212320221310003
5122412013221011
64125034555043
7445014265512
oct104670516403
925763044660
109242320131
113a13059a00
12195b298a83
13b43a341a5
14639692679
153915e5356
hex226e29d03

9242320131 has 24 divisors (see below), whose sum is σ = 15050248080. Its totient is φ = 5601404160.

The previous prime is 9242320103. The next prime is 9242320177. The reversal of 9242320131 is 1310232429.

It is a happy number.

9242320131 is a `hidden beast` number, since 9 + 2 + 423 + 201 + 31 = 666.

It is not a de Polignac number, because 9242320131 - 217 = 9242189059 is a prime.

It is a super-2 number, since 2×92423201312 (a number of 21 digits) contains 22 as substring.

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 = 9242320095 and 9242320104.

It is not an unprimeable number, because it can be changed into a prime (9242320231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411230 + ... + 1417763.

It is an arithmetic number, because the mean of its divisors is an integer number (627093670).

Almost surely, 29242320131 is an apocalyptic number.

9242320131 is a deficient number, since it is larger than the sum of its proper divisors (5807927949).

9242320131 is a wasteful number, since it uses less digits than its factorization.

9242320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829024 (or 2829007 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9242320131 is about 96136.9862799953. The cubic root of 9242320131 is about 2098.5871169704.

The spelling of 9242320131 in words is "nine billion, two hundred forty-two million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 2828993 8486979 25460937 31118923 76382811 93356769 280070307 342308153 840210921 1026924459 3080773377 9242320131