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20101222211022 = 232191672311152293
BaseRepresentation
bin1001001001000001011100…
…01101011001110111001110
32122011122202201220121020100
410210200232031121313032
510113314300341223042
6110430212441231530
74143160011433551
oct444405615316716
978148681817210
1020101222211022
11644a97599a397
1223079027925a6
13b2a6ca093564
144d6c93750698
1524cd2b54724c
hex12482e359dce

20101222211022 has 96 divisors (see below), whose sum is σ = 46139672517120. Its totient is φ = 6306972154560.

The previous prime is 20101222210991. The next prime is 20101222211027. The reversal of 20101222211022 is 22011222210102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20101222210986 and 20101222211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101222211027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131914308 + ... + 132066600.

It is an arithmetic number, because the mean of its divisors is an integer number (480621588720).

Almost surely, 220101222211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101222211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23069836258560).

20101222211022 is an abundant number, since it is smaller than the sum of its proper divisors (26038450306098).

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

20101222211022 is a wasteful number, since it uses less digits than its factorization.

20101222211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154798 (or 154795 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20101222211022 its reverse (22011222210102), we get a palindrome (42112444421124).

The spelling of 20101222211022 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 1002 1503 2311 3006 3173 4622 6346 6933 9519 13866 19038 20799 28557 41598 43909 57114 87818 131727 152293 263454 304586 385937 395181 456879 771874 790362 913758 1157811 1370637 2315622 2741274 2893567 3473433 5787134 6946866 7332803 8680701 14665606 17361402 21998409 25432931 26042103 43996818 50865862 52084206 65995227 76298793 131990454 152597586 228896379 351949123 457792758 483225689 703898246 966451378 1055847369 1449677067 2111694738 2899354134 3167542107 4349031201 6335084214 6687033337 8698062402 13374066674 20061100011 40122200022 58775503541 60183300033 117551007082 120366600066 176326510623 352653021246 528979531869 1057959063738 1116734567279 2233469134558 3350203701837 6700407403674 10050611105511 20101222211022