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22310031113000 = 2353312671572207
BaseRepresentation
bin1010001001010011101010…
…11110101011101100101000
32220222211002102112201111122
411010221311132223230220
510411011420431104000
6115241030425514412
74461563240346611
oct504516536535450
986884072481448
1022310031113000
1171216a3a3a854
122603a00342a08
13c5aa99938917
14571b50190c08
1528a505ec9085
hex144a757abb28

22310031113000 has 384 divisors, whose sum is σ = 55122661002240. Its totient is φ = 8449227072000.

The previous prime is 22310031112973. The next prime is 22310031113003. The reversal of 22310031113000 is 31113001322.

It is a super-3 number, since 3×223100311130003 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22310031113000.

It is not an unprimeable number, because it can be changed into a prime (22310031113003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10108757897 + ... + 10108760103.

It is an arithmetic number, because the mean of its divisors is an integer number (143548596360).

Almost surely, 222310031113000 is an apocalyptic number.

22310031113000 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 22310031113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27561330501120).

22310031113000 is an abundant number, since it is smaller than the sum of its proper divisors (32812629889240).

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

22310031113000 is a wasteful number, since it uses less digits than its factorization.

22310031113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 22310031113000 its reverse (31113001322), we get a palindrome (22341144114322).

The spelling of 22310031113000 in words is "twenty-two trillion, three hundred ten billion, thirty-one million, one hundred thirteen thousand".