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100022112221020 = 225112172431261843
BaseRepresentation
bin10110101111100000110110…
…011101111111011101011100
3111010011000112222100202001121
4112233200312131333131130
5101102230241212033040
6552421305104220324
730032234120003023
oct2657406635773534
9433130488322047
10100022112221020
1129963159861100
12b274b5700a6a4
1343a70772ca1b2
141a9b14b8458ba
15b86c10bb8c4a
hex5af83677f75c

100022112221020 has 72 divisors (see below), whose sum is σ = 244458515890512. Its totient is φ = 34232166735360.

The previous prime is 100022112221011. The next prime is 100022112221027. The reversal of 100022112221020 is 20122211220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100022112220985 and 100022112221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022112221027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1215589782 + ... + 1215672061.

It is an arithmetic number, because the mean of its divisors is an integer number (3395257165146).

Almost surely, 2100022112221020 is an apocalyptic number.

100022112221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022112221020 is an abundant number, since it is smaller than the sum of its proper divisors (144436403669492).

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

100022112221020 is a wasteful number, since it uses less digits than its factorization.

100022112221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431261891 (or 2431261878 counting only the distinct ones).

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

Adding to 100022112221020 its reverse (20122211220001), we get a palindrome (120144323441021).

The spelling of 100022112221020 in words is "one hundred trillion, twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 41140 2431261843 4862523686 9725047372 12156309215 24312618430 26743880273 41331451331 48625236860 53487760546 82662902662 106975521092 133719401365 165325805324 206657256655 267438802730 294182683003 413314513310 454645964641 534877605460 588365366006 826629026620 909291929282 1176730732012 1470913415015 1818583858564 2273229823205 2941826830030 4546459646410 5001105611051 5883653660060 9092919292820 10002211222102 20004422444204 25005528055255 50011056110510 100022112221020