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100022101000212 = 22326946366923933
BaseRepresentation
bin10110101111100000110101…
…110011001100000000010100
3111010011000112012020200000010
4112233200311303030000110
5101102230230324001322
6552421304023520220
730032233622430216
oct2657406563140024
9433130465220003
10100022101000212
1129963153497806
12b274b532b9070
1343a7074b9ba71
141a9b14a1645b6
15b86c0ebee20c
hex5af835ccc014

100022101000212 has 48 divisors (see below), whose sum is σ = 234758452642560. Its totient is φ = 33145014258048.

The previous prime is 100022101000183. The next prime is 100022101000231. The reversal of 100022101000212 is 212000101220001.

It is a super-2 number, since 2×1000221010002122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31967403 + ... + 34956530.

It is an arithmetic number, because the mean of its divisors is an integer number (4890801096720).

Almost surely, 2100022101000212 is an apocalyptic number.

100022101000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022101000212 is an abundant number, since it is smaller than the sum of its proper divisors (134736351642348).

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

100022101000212 is a wasteful number, since it uses less digits than its factorization.

100022101000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66924672 (or 66924670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022101000212 its reverse (212000101220001), we get a palindrome (312022202220213).

The spelling of 100022101000212 in words is "one hundred trillion, twenty-two billion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 269 463 538 807 926 1076 1389 1614 1852 2778 3228 5556 124547 249094 373641 498188 747282 1494564 66923933 133847866 200771799 267695732 401543598 803087196 18002537977 30985780979 36005075954 54007613931 61971561958 72010151908 92957342937 108015227862 123943123916 185914685874 216030455724 371829371748 8335175083351 16670350166702 25005525250053 33340700333404 50011050500106 100022101000212