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10220124320 = 2557192916561
BaseRepresentation
bin10011000010010101…
…01011100010100000
3222101020222002220222
421201022223202200
5131412322434240
64410044422212
7511156423550
oct114112534240
928336862828
1010220124320
114374aa273a
121b92847968
13c6b49c653
146cd4a3160
153ec38eeb5
hex2612ab8a0

10220124320 has 192 divisors, whose sum is σ = 30050092800. Its totient is φ = 3204956160.

The previous prime is 10220124251. The next prime is 10220124331. The reversal of 10220124320 is 2342102201.

It is a super-2 number, since 2×102201243202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608840 + ... + 625400.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 210220124320 is an apocalyptic number.

10220124320 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 10220124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025046400).

10220124320 is an abundant number, since it is smaller than the sum of its proper divisors (19829968480).

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

10220124320 is a wasteful number, since it uses less digits than its factorization.

10220124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16631 (or 16623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10220124320 its reverse (2342102201), we get a palindrome (12562226521).

The spelling of 10220124320 in words is "ten billion, two hundred twenty million, one hundred twenty-four thousand, three hundred twenty".