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10023021024 = 2531748712611
BaseRepresentation
bin10010101010110101…
…10010100111100000
3221212112002020000220
421111122302213200
5131011343133044
64334324043040
7503244162432
oct112532624740
927775066026
1010023021024
114283809055
121b38833480
13c396ba993
146b1236652
153d9e09019
hex2556b29e0

10023021024 has 96 divisors (see below), whose sum is σ = 27917519616. Its totient is φ = 3137771520.

The previous prime is 10023021023. The next prime is 10023021031. The reversal of 10023021024 is 42012032001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10023020994 and 10023021012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023021023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788479 + ... + 801089.

It is an arithmetic number, because the mean of its divisors is an integer number (290807496).

Almost surely, 210023021024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958759808).

10023021024 is an abundant number, since it is smaller than the sum of its proper divisors (17894498592).

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

10023021024 is a wasteful number, since it uses less digits than its factorization.

10023021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13128 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10023021024 its reverse (42012032001), we get a palindrome (52035053025).

The spelling of 10023021024 in words is "ten billion, twenty-three million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 487 544 816 974 1461 1632 1948 2922 3896 5844 7792 8279 11688 12611 15584 16558 23376 24837 25222 33116 37833 46752 49674 50444 66232 75666 99348 100888 132464 151332 198696 201776 214387 264928 302664 397392 403552 428774 605328 643161 794784 857548 1210656 1286322 1715096 2572644 3430192 5145288 6141557 6860384 10290576 12283114 18424671 20581152 24566228 36849342 49132456 73698684 98264912 104406469 147397368 196529824 208812938 294794736 313219407 417625876 589589472 626438814 835251752 1252877628 1670503504 2505755256 3341007008 5011510512 10023021024