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10223310031000 = 23531119149328291
BaseRepresentation
bin1001010011000100110011…
…0000110100100010011000
31100012100011001110012111021
42110301030300310202120
52314444314331443000
633424305050012224
72103416103316333
oct224611460644230
940170131405437
1010223310031000
113291754a9a550
121191419a17074
13592091837341
14274b4cd6361a
1512ade9a1811a
hex94c4cc34898

10223310031000 has 256 divisors, whose sum is σ = 27655318080000. Its totient is φ = 3498258240000.

The previous prime is 10223310030953. The next prime is 10223310031009. The reversal of 10223310031000 is 13001332201.

It is a super-2 number, since 2×102233100310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223310031009) 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, 30976855 + ... + 31305145.

It is an arithmetic number, because the mean of its divisors is an integer number (108028586250).

Almost surely, 210223310031000 is an apocalyptic number.

10223310031000 is a gapful number since it is divisible by the number (10) 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 10223310031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827659040000).

10223310031000 is an abundant number, since it is smaller than the sum of its proper divisors (17432008049000).

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

10223310031000 is a wasteful number, since it uses less digits than its factorization.

10223310031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328491 (or 328477 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10223310031000 its reverse (13001332201), we get a palindrome (10236311363201).

The spelling of 10223310031000 in words is "ten trillion, two hundred twenty-three billion, three hundred ten million, thirty-one thousand".