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21112212000220 = 225112413677108293
BaseRepresentation
bin1001100110011100100011…
…11001011000110111011100
32202202022022100120011100221
410303032101321120313130
510231400302233001340
6112522452153131124
74306210203030415
oct463162171306734
982668270504327
1021112212000220
1167aa7033095a0
12244b8310b9aa4
13ba1b4711cc33
1452db9d56a80c
1526929c9d244a
hex133391e58ddc

21112212000220 has 96 divisors (see below), whose sum is σ = 48580504733376. Its totient is φ = 7643162726400.

The previous prime is 21112212000181. The next prime is 21112212000221. The reversal of 21112212000220 is 2200021221112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21112212000194 and 21112212000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112212000221) 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, 194900394 + ... + 195008686.

It is an arithmetic number, because the mean of its divisors is an integer number (506046924306).

Almost surely, 221112212000220 is an apocalyptic number.

21112212000220 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 21112212000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24290252366688).

21112212000220 is an abundant number, since it is smaller than the sum of its proper divisors (27468292733156).

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

21112212000220 is a wasteful number, since it uses less digits than its factorization.

21112212000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112231 (or 112229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21112212000220 its reverse (2200021221112), we get a palindrome (23312233221332).

The spelling of 21112212000220 in words is "twenty-one trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 3677 4820 5302 7354 10604 13255 14708 18385 26510 36770 40447 53020 73540 80894 108293 161788 202235 216586 404470 433172 541465 808940 886157 1082930 1191223 1772314 2165860 2382446 3544628 4430785 4764892 5956115 8861570 9747727 11912230 17723140 19495454 23824460 26098613 38990908 48738635 52197226 97477270 104394452 130493065 194954540 260986130 287084743 398193361 521972260 574169486 796386722 1148338972 1435423715 1592773444 1990966805 2870847430 3981933610 4380126971 5741694860 7963867220 8760253942 17520507884 21900634855 43801269710 87602539420 95964600001 191929200002 383858400004 479823000005 959646000010 1055610600011 1919292000020 2111221200022 4222442400044 5278053000055 10556106000110 21112212000220