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332120002122 = 23218451111229
BaseRepresentation
bin1001101010100111110…
…01010000111001001010
31011202021000101012022100
410311103321100321022
520420140210031442
6412323540134230
732665146303366
oct4652371207112
91152230335270
10332120002122
111189400a02a7
125444a397376
132541b495c1c
1412108d622a6
15898c4a184c
hex4d53e50e4a

332120002122 has 12 divisors (see below), whose sum is σ = 719593337970. Its totient is φ = 110706667368.

The previous prime is 332120002117. The next prime is 332120002127. The reversal of 332120002122 is 221200021233.

332120002122 is a `hidden beast` number, since 332 + 120 + 0 + 0 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (332120002117) and next prime (332120002127).

It can be written as a sum of positive squares in only one way, i.e., 330419182041 + 1700820081 = 574821^2 + 41241^2 .

It is a super-2 number, since 2×3321200021222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 18451111229 = 332120002122 / (3 + 3 + 2 + 1 + 2 + 0 + 0 + 0 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 332120002095 and 332120002104.

It is not an unprimeable number, because it can be changed into a prime (332120002127) 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 5 ways as a sum of consecutive naturals, for example, 9225555597 + ... + 9225555632.

Almost surely, 2332120002122 is an apocalyptic number.

332120002122 is an abundant number, since it is smaller than the sum of its proper divisors (387473335848).

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

332120002122 is a wasteful number, since it uses less digits than its factorization.

332120002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18451111237 (or 18451111234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 332120002122 its reverse (221200021233), we get a palindrome (553320023355).

The spelling of 332120002122 in words is "three hundred thirty-two billion, one hundred twenty million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 18451111229 36902222458 55353333687 110706667374 166060001061 332120002122