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930122516232 = 23327213212492
BaseRepresentation
bin11011000100011111001…
…11110100011100001000
310021220210211121110021200
431202033213310130020
5110214342331004412
61551143053304200
7124125205640400
oct15421747643410
93256724543250
10930122516232
1132950aa04108
12130320195060
1369930349500
1433037c03800
15192dbca69dc
hexd88f9f4708

930122516232 has 324 divisors, whose sum is σ = 3175654790295. Its totient is φ = 245110634496.

The previous prime is 930122516227. The next prime is 930122516233. The reversal of 930122516232 is 232615221039.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

930122516232 is a `hidden beast` number, since 9 + 3 + 0 + 1 + 2 + 25 + 1 + 623 + 2 = 666.

930122516232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 83085756516 + 847036759716 = 288246^2 + 920346^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=681954.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (930122516233) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 744693144 + ... + 744694392.

Almost surely, 2930122516232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930122516232

930122516232 is an abundant number, since it is smaller than the sum of its proper divisors (2245532274063).

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

930122516232 is a wasteful number, since it uses less digits than its factorization.

930122516232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 930122516232 in words is "nine hundred thirty billion, one hundred twenty-two million, five hundred sixteen thousand, two hundred thirty-two".