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21220002342 = 232711181251337
BaseRepresentation
bin10011110000110011…
…111000101000100110
32000202212011210211200
4103300303320220212
5321424310033332
613425350143330
71350565021020
oct236063705046
960685153750
1021220002342
118aaa157920
124142651b46
132002383606
141054341010
15842e0817c
hex4f0cf8a26

21220002342 has 192 divisors, whose sum is σ = 58039607808. Its totient is φ = 5443200000.

The previous prime is 21220002337. The next prime is 21220002371. The reversal of 21220002342 is 24320002212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 62967198 + ... + 62967534.

It is an arithmetic number, because the mean of its divisors is an integer number (302289624).

Almost surely, 221220002342 is an apocalyptic number.

21220002342 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 21220002342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29019803904).

21220002342 is an abundant number, since it is smaller than the sum of its proper divisors (36819605466).

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

21220002342 is a wasteful number, since it uses less digits than its factorization.

21220002342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21220002342 its reverse (24320002212), we get a palindrome (45540004554).

The spelling of 21220002342 in words is "twenty-one billion, two hundred twenty million, two thousand, three hundred forty-two".