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21311312022 = 232711132372459
BaseRepresentation
bin10011110110010000…
…001101000010010110
32001000012222211011200
4103312100031002112
5322121143441042
613442411213330
71353054110010
oct236620150226
961005884150
1021311312022
119046753170
124169147246
132018273700
14106250d1b0
1584ae42c4c
hex4f640d096

21311312022 has 288 divisors, whose sum is σ = 64048008960. Its totient is φ = 4969486080.

The previous prime is 21311312021. The next prime is 21311312027. The reversal of 21311312022 is 22021311312.

21311312022 is a `hidden beast` number, since 21 + 311 + 312 + 0 + 22 = 666.

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 = 21311311986 and 21311312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311312021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8665429 + ... + 8667887.

It is an arithmetic number, because the mean of its divisors is an integer number (222388920).

Almost surely, 221311312022 is an apocalyptic number.

21311312022 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 21311312022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32024004480).

21311312022 is an abundant number, since it is smaller than the sum of its proper divisors (42736696938).

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

21311312022 is a wasteful number, since it uses less digits than its factorization.

21311312022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21311312022 its reverse (22021311312), we get a palindrome (43332623334).

It can be divided in two parts, 21311 and 312022, that added together give a palindrome (333333).

The spelling of 21311312022 in words is "twenty-one billion, three hundred eleven million, three hundred twelve thousand, twenty-two".