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10020124460520 = 2333523842947857
BaseRepresentation
bin1001000111001111110111…
…1101011000010111101000
31022110220200200221202211000
42101303331331120113220
52303132203330214040
633151103122035000
72052634011420666
oct221637575302750
938426620852730
1010020124460520
113213569041079
121159b734a8a60
13578b8055c425
14268d95b71c36
151259a6a96130
hex91cfdf585e8

10020124460520 has 256 divisors, whose sum is σ = 34857470016000. Its totient is φ = 2555501211648.

The previous prime is 10020124460491. The next prime is 10020124460531. The reversal of 10020124460520 is 2506442102001.

10020124460520 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 12 + 44 + 605 + 2 + 0 = 666.

It is a super-2 number, since 2×100201244605202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209352432 + ... + 209400288.

It is an arithmetic number, because the mean of its divisors is an integer number (136161992250).

Almost surely, 210020124460520 is an apocalyptic number.

10020124460520 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 10020124460520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428735008000).

10020124460520 is an abundant number, since it is smaller than the sum of its proper divisors (24837345555480).

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

10020124460520 is a wasteful number, since it uses less digits than its factorization.

10020124460520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56329 (or 56319 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10020124460520 its reverse (2506442102001), we get a palindrome (12526566562521).

The spelling of 10020124460520 in words is "ten trillion, twenty billion, one hundred twenty-four million, four hundred sixty thousand, five hundred twenty".