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2302012102032 = 243261262068773
BaseRepresentation
bin100001011111111010100…
…111010001010110010000
322011001220011220020210200
4201133322213101112100
5300204010044231112
64521310232255200
7325213002005166
oct41377247212620
98131804806720
102302012102032
11808306900125
1231218b241500
131391041b68a6
147d5bcd1b236
153ed3213ecdc
hex217fa9d1590

2302012102032 has 60 divisors (see below), whose sum is σ = 6548050387164. Its totient is φ = 754758063360.

The previous prime is 2302012102003. The next prime is 2302012102037.

2302012102032 is a `hidden beast` number, since 230 + 20 + 1 + 210 + 203 + 2 = 666.

2302012102032 is nontrivially palindromic in base 10.

2302012102032 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 2 ways, for example, as 813719460096 + 1488292641936 = 902064^2 + 1219956^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2302012101996 and 2302012102014.

It is not an unprimeable number, because it can be changed into a prime (2302012102037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131025603 + ... + 131043170.

Almost surely, 22302012102032 is an apocalyptic number.

It is an amenable number.

2302012102032 is an abundant number, since it is smaller than the sum of its proper divisors (4246038285132).

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

2302012102032 is a wasteful number, since it uses less digits than its factorization.

2302012102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262068848 (or 262068839 counting only the distinct ones).

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

The spelling of 2302012102032 in words is "two trillion, three hundred two billion, twelve million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 262068773 524137546 786206319 1048275092 1572412638 2096550184 2358618957 3144825276 4193100368 4717237914 6289650552 9434475828 12579301104 15986195153 18868951656 31972390306 37737903312 47958585459 63944780612 95917170918 127889561224 143875756377 191834341836 255779122448 287751512754 383668683672 575503025508 767337367344 1151006051016 2302012102032