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22021131000 = 23353111016607
BaseRepresentation
bin10100100000100011…
…111100101011111000
32002211200122100202110
4110200203330223320
5330044402143000
614041045132320
71406463345051
oct244043745370
962750570673
1022021131000
119380399720
1243269ba0a0
1320cc34013b
1410cc8c1728
1588d404850
hex5208fcaf8

22021131000 has 256 divisors, whose sum is σ = 75705477120. Its totient is φ = 5284800000.

The previous prime is 22021130987. The next prime is 22021131001. The reversal of 22021131000 is 13112022.

It is a super-2 number, since 2×220211310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021131001) 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 63 ways as a sum of consecutive naturals, for example, 3329697 + ... + 3336303.

It is an arithmetic number, because the mean of its divisors is an integer number (295724520).

Almost surely, 222021131000 is an apocalyptic number.

22021131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37852738560).

22021131000 is an abundant number, since it is smaller than the sum of its proper divisors (53684346120).

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

22021131000 is a wasteful number, since it uses less digits than its factorization.

22021131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22021131000 its reverse (13112022), we get a palindrome (22034243022).

The spelling of 22021131000 in words is "twenty-two billion, twenty-one million, one hundred thirty-one thousand".