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221303040303122 = 21014000927382829
BaseRepresentation
bin110010010100011000100001…
…000110101110000000010010
31002000120100211101022102021122
4302110120201012232000102
5213001312111304144442
62102401114015322242
764420421433223451
oct6224304106560022
91060510741272248
10221303040303122
1164572101990288
12209a2018520382
139663a304c307b
143c911a5124b98
151a8b8eec00dd2
hexc946211ae012

221303040303122 has 16 divisors (see below), whose sum is σ = 335249630659800. Its totient is φ = 109553218262400.

The previous prime is 221303040303109. The next prime is 221303040303127.

It is a happy number.

221303040303122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 142871842315801 + 78431197987321 = 11952901^2 + 8856139^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221303040303091 and 221303040303100.

It is not an unprimeable number, because it can be changed into a prime (221303040303127) by changing a digit.

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, 5609597 + ... + 21773232.

Almost surely, 2221303040303122 is an apocalyptic number.

221303040303122 is a deficient number, since it is larger than the sum of its proper divisors (113946590356678).

221303040303122 is a wasteful number, since it uses less digits than its factorization.

221303040303122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27422941.

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 221303040303122 in words is "two hundred twenty-one trillion, three hundred three billion, forty million, three hundred three thousand, one hundred twenty-two".

Divisors: 1 2 101 202 40009 80018 4040909 8081818 27382829 54765658 2765665729 5531331458 1095559605461 2191119210922 110651520151561 221303040303122