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2303314133032 = 2311218757126857
BaseRepresentation
bin100001100001001000001…
…110001000000000101000
322011012020220220021120001
4201201020032020000220
5300214141404224112
64522043343312344
7325260162045013
oct41411016100050
98135226807501
102303314133032
11808914865300
123124932ab6b4
13139280b83133
147d6a3c0a37a
153edab5d1c57
hex21848388028

2303314133032 has 48 divisors (see below), whose sum is σ = 4747306716180. Its totient is φ = 1046896899840.

The previous prime is 2303314133023. The next prime is 2303314133093.

2303314133032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1934007550596 + 369306582436 = 1390686^2 + 607706^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18093348 + ... + 18220204.

Almost surely, 22303314133032 is an apocalyptic number.

2303314133032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2303314133032 is an abundant number, since it is smaller than the sum of its proper divisors (2443992583148).

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

2303314133032 is a wasteful number, since it uses less digits than its factorization.

2303314133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145642 (or 145627 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

The spelling of 2303314133032 in words is "two trillion, three hundred three billion, three hundred fourteen million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 18757 37514 75028 126857 150056 206327 253714 412654 507428 825308 1014856 1395427 1650616 2269597 2790854 4539194 5581708 9078388 11163416 15349697 18156776 30699394 61398788 122797576 2379456749 4758913498 9517826996 19035653992 26174024239 52348048478 104696096956 209392193912 287914266629 575828533258 1151657066516 2303314133032