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21022032120 = 23351098591871
BaseRepresentation
bin10011100101000000…
…101100000011111000
32000021001122212202020
4103211000230003320
5321023120011440
613353555034440
71342642216245
oct234500540370
960231585666
1021022032120
118a08430971
1240a829ba20
131ca035a17b
141035d2a5cc
158308503d0
hex4e502c0f8

21022032120 has 128 divisors (see below), whose sum is σ = 63752832000. Its totient is φ = 5545013760.

The previous prime is 21022032107. The next prime is 21022032121. The reversal of 21022032120 is 2123022012.

It is a happy number.

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 21022032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022032121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11234785 + ... + 11236655.

It is an arithmetic number, because the mean of its divisors is an integer number (498069000).

Almost surely, 221022032120 is an apocalyptic number.

21022032120 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 21022032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31876416000).

21022032120 is an abundant number, since it is smaller than the sum of its proper divisors (42730799880).

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

21022032120 is a wasteful number, since it uses less digits than its factorization.

21022032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2849 counting only the distinct ones).

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

Adding to 21022032120 its reverse (2123022012), we get a palindrome (23145054132).

The spelling of 21022032120 in words is "twenty-one billion, twenty-two million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 859 872 1090 1308 1635 1718 1871 2180 2577 2616 3270 3436 3742 4295 4360 5154 5613 6540 6872 7484 8590 9355 10308 11226 12885 13080 14968 17180 18710 20616 22452 25770 28065 34360 37420 44904 51540 56130 74840 93631 103080 112260 187262 203939 224520 280893 374524 407878 468155 561786 611817 749048 815756 936310 1019695 1123572 1223634 1404465 1607189 1631512 1872620 2039390 2247144 2447268 2808930 3059085 3214378 3745240 4078780 4821567 4894536 5617860 6118170 6428756 8035945 8157560 9643134 11235720 12236340 12857512 16071890 19286268 24107835 24472680 32143780 38572536 48215670 64287560 96431340 175183601 192862680 350367202 525550803 700734404 875918005 1051101606 1401468808 1751836010 2102203212 2627754015 3503672020 4204406424 5255508030 7007344040 10511016060 21022032120