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21010111202322 = 23211193741131157179
BaseRepresentation
bin1001100011011110011000…
…01101110000010000010010
32202101112202202220020011200
410301233030031300100102
510223212201431433242
6112403524542452030
74265634066412614
oct461571415602022
982345682806150
1021010111202322
11677037a04a990
122433a97894016
13b95325303418
14528c754d2db4
152667c412404c
hex131bcc370412

21010111202322 has 768 divisors, whose sum is σ = 56080549324800. Its totient is φ = 5614023168000.

The previous prime is 21010111202321. The next prime is 21010111202323. The reversal of 21010111202322 is 22320211101012.

21010111202322 is a `hidden beast` number, since 21 + 0 + 10 + 111 + 202 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (21010111202321) and next prime (21010111202323).

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 = 21010111202295 and 21010111202304.

It is not an unprimeable number, because it can be changed into a prime (21010111202321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 117374922829 + ... + 117374923007.

It is an arithmetic number, because the mean of its divisors is an integer number (73021548600).

Almost surely, 221010111202322 is an apocalyptic number.

21010111202322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010111202322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28040274662400).

21010111202322 is an abundant number, since it is smaller than the sum of its proper divisors (35070438122478).

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

21010111202322 is a wasteful number, since it uses less digits than its factorization.

21010111202322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21010111202322 its reverse (22320211101012), we get a palindrome (43330322303334).

The spelling of 21010111202322 in words is "twenty-one trillion, ten billion, one hundred eleven million, two hundred two thousand, three hundred twenty-two".