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22213031031000 = 2334534361910303
BaseRepresentation
bin1010000110011110111111…
…10100101111000011011000
32220122112201022210000010000
411003033133310233003120
510402414241420443000
6115124305305253000
74451560421302665
oct503173764570330
986575638700100
1022213031031000
117094547a19527
1225a904b194160
13c518ab7b22b4
1456b18b714a6c
15287c2a319000
hex1433dfd2f0d8

22213031031000 has 640 divisors, whose sum is σ = 79588705996800. Its totient is φ = 5775812179200.

The previous prime is 22213031030903. The next prime is 22213031031127. The reversal of 22213031031000 is 13013031222.

22213031031000 is a `hidden beast` number, since 2 + 221 + 30 + 310 + 3 + 100 + 0 = 666.

It is a super-2 number, since 2×222130310310002 (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2155971849 + ... + 2155982151.

It is an arithmetic number, because the mean of its divisors is an integer number (124357353120).

Almost surely, 222213031031000 is an apocalyptic number.

22213031031000 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 22213031031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39794352998400).

22213031031000 is an abundant number, since it is smaller than the sum of its proper divisors (57375674965800).

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

22213031031000 is a wasteful number, since it uses less digits than its factorization.

22213031031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10998 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22213031031000 its reverse (13013031222), we get a palindrome (22226044062222).

The spelling of 22213031031000 in words is "twenty-two trillion, two hundred thirteen billion, thirty-one million, thirty-one thousand".