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21002331120 = 2435557157109
BaseRepresentation
bin10011100011110101…
…100010001111110000
32000012200120222001120
4103203311202033300
5321003044043440
613352012502240
71342312604031
oct234365421760
960180528046
1021002331120
1189a82a5251
1240a177a980
131c9924cb84
14103347ca88
1582dc5cdd0
hex4e3d623f0

21002331120 has 80 divisors (see below), whose sum is σ = 65224530720. Its totient is φ = 5590531072.

The previous prime is 21002331109. The next prime is 21002331149. The reversal of 21002331120 is 2113320012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21002331120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55126 + ... + 212234.

It is an arithmetic number, because the mean of its divisors is an integer number (815306634).

Almost surely, 221002331120 is an apocalyptic number.

21002331120 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 21002331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32612265360).

21002331120 is an abundant number, since it is smaller than the sum of its proper divisors (44222199600).

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

21002331120 is a wasteful number, since it uses less digits than its factorization.

21002331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157682 (or 157676 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21002331120 its reverse (2113320012), we get a palindrome (23115651132).

The spelling of 21002331120 in words is "twenty-one billion, two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 557 1114 1671 2228 2785 3342 4456 5570 6684 8355 8912 11140 13368 16710 22280 26736 33420 44560 66840 133680 157109 314218 471327 628436 785545 942654 1256872 1571090 1885308 2356635 2513744 3142180 3770616 4713270 6284360 7541232 9426540 12568720 18853080 37706160 87509713 175019426 262529139 350038852 437548565 525058278 700077704 875097130 1050116556 1312645695 1400155408 1750194260 2100233112 2625291390 3500388520 4200466224 5250582780 7000777040 10501165560 21002331120