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102301311312032 = 257520043878201
BaseRepresentation
bin10111010000101011100001…
…010100100010000010100000
3111102012220120021112221221012
4113100223201110202002200
5101402101041143441112
61001324323522520052
730356011601426060
oct2720534124420240
9442186507487835
10102301311312032
112a661819278408
12b58281a206028
134510c840a49a1
141b395a4a2b3a0
15bc615a133022
hex5d0ae15220a0

102301311312032 has 48 divisors (see below), whose sum is σ = 230178655167552. Its totient is φ = 43843284902400.

The previous prime is 102301311312001. The next prime is 102301311312049. The reversal of 102301311312032 is 230213113103201.

It is a super-2 number, since 2×1023013113120322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102301311311989 and 102301311312007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116050532 + ... + 116928732.

It is an arithmetic number, because the mean of its divisors is an integer number (4795388649324).

Almost surely, 2102301311312032 is an apocalyptic number.

It is an amenable number.

102301311312032 is an abundant number, since it is smaller than the sum of its proper divisors (127877343855520).

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

102301311312032 is an equidigital number, since it uses as much as digits as its factorization.

102301311312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398261 (or 1398253 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102301311312032 its reverse (230213113103201), we get a palindrome (332514424415233).

The spelling of 102301311312032 in words is "one hundred two trillion, three hundred one billion, three hundred eleven million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 520043 878201 1040086 1756402 2080172 3512804 3640301 4160344 6147407 7025608 7280602 8320688 12294814 14051216 14561204 16641376 24589628 28102432 29122408 49179256 58244816 98358512 116489632 196717024 456702282643 913404565286 1826809130572 3196915978501 3653618261144 6393831957002 7307236522288 12787663914004 14614473044576 25575327828008 51150655656016 102301311312032