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21320444112 = 24311294133961
BaseRepresentation
bin10011110110110011…
…000010100011010000
32001000212011210001020
4103312303002203100
5322131013202422
613443335035440
71353224533122
oct236663024320
961025153036
1021320444112
119050920250
12417020bb80
13201a120206
141063809212
1584bb4895c
hex4f6cc28d0

21320444112 has 160 divisors (see below), whose sum is σ = 63674674560. Its totient is φ = 6085632000.

The previous prime is 21320444077. The next prime is 21320444191. The reversal of 21320444112 is 21144402312.

It is a super-2 number, since 2×213204441122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610812 + ... + 644772.

It is an arithmetic number, because the mean of its divisors is an integer number (397966716).

Almost surely, 221320444112 is an apocalyptic number.

21320444112 is a gapful number since it is divisible by the number (22) 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 21320444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31837337280).

21320444112 is an abundant number, since it is smaller than the sum of its proper divisors (42354230448).

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

21320444112 is a wasteful number, since it uses less digits than its factorization.

21320444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34053 (or 34047 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21320444112 its reverse (21144402312), we get a palindrome (42464846424).

The spelling of 21320444112 in words is "twenty-one billion, three hundred twenty million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 41 44 48 58 66 82 87 88 116 123 132 164 174 176 232 246 264 319 328 348 451 464 492 528 638 656 696 902 957 984 1189 1276 1353 1392 1804 1914 1968 2378 2552 2706 3567 3608 3828 4756 5104 5412 7134 7216 7656 9512 10824 13079 14268 15312 19024 21648 26158 28536 33961 39237 52316 57072 67922 78474 101883 104632 135844 156948 203766 209264 271688 313896 373571 407532 543376 627792 747142 815064 984869 1120713 1392401 1494284 1630128 1969738 2241426 2784802 2954607 2988568 3939476 4177203 4482852 5569604 5909214 5977136 7878952 8354406 8965704 10833559 11139208 11818428 15316411 15757904 16708812 17931408 21667118 22278416 23636856 30632822 32500677 33417624 40379629 43334236 45949233 47273712 61265644 65001354 66835248 80759258 86668472 91898466 121138887 122531288 130002708 161518516 173336944 183796932 242277774 245062576 260005416 323037032 367593864 444175919 484555548 520010832 646074064 735187728 888351838 969111096 1332527757 1776703676 1938222192 2665055514 3553407352 5330111028 7106814704 10660222056 21320444112