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102331120333 = 1343371814993
BaseRepresentation
bin101111101001101101…
…0001111101011001101
3100210010122001112011211
41133103122033223031
53134033231322313
6115002115014421
710251601112461
oct1372332175315
9323118045154
10102331120333
113a442282332
12179ba59a411
13985a75c7a0
144d4a8b04a1
1529ddc06e3d
hex17d368facd

102331120333 has 8 divisors (see below), whose sum is σ = 110228215608. Its totient is φ = 94437663744.

The previous prime is 102331120327. The next prime is 102331120357. The reversal of 102331120333 is 333021133201.

It can be written as a sum of positive squares in 4 ways, for example, as 25089926404 + 77241193929 = 158398^2 + 277923^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102331120333 - 25 = 102331120301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331120363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851116 + ... + 963877.

It is an arithmetic number, because the mean of its divisors is an integer number (13778526951).

Almost surely, 2102331120333 is an apocalyptic number.

102331120333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102331120333 is a deficient number, since it is larger than the sum of its proper divisors (7897095275).

102331120333 is a wasteful number, since it uses less digits than its factorization.

102331120333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819343.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 102331120333 its reverse (333021133201), we get a palindrome (435352253534).

The spelling of 102331120333 in words is "one hundred two billion, three hundred thirty-one million, one hundred twenty thousand, three hundred thirty-three".

Divisors: 1 13 4337 56381 1814993 23594909 7871624641 102331120333