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100211101220 = 22517946131153
BaseRepresentation
bin101110101010100001…
…1000000111000100100
3100120122212212101200102
41131111003000320210
53120213020214340
6114011503403232
710145216206646
oct1352503007044
9316585771612
10100211101220
113955461061a
12175085b3518
1395b04828c9
144bc90d2896
152917a38215
hex17550c0e24

100211101220 has 48 divisors (see below), whose sum is σ = 222853035888. Its totient is φ = 37721333760.

The previous prime is 100211101171. The next prime is 100211101259. The reversal of 100211101220 is 22101112001.

It can be written as a sum of positive squares in 8 ways, for example, as 644347456 + 99566753764 = 25384^2 + 315542^2 .

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, 3201164 + ... + 3232316.

It is an arithmetic number, because the mean of its divisors is an integer number (4642771581).

Almost surely, 2100211101220 is an apocalyptic number.

100211101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211101220 is an abundant number, since it is smaller than the sum of its proper divisors (122641934668).

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

100211101220 is a wasteful number, since it uses less digits than its factorization.

100211101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40640 (or 40638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100211101220 its reverse (22101112001), we get a palindrome (122312213221).

The spelling of 100211101220 in words is "one hundred billion, two hundred eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 9461 18922 31153 37844 47305 62306 94610 124612 155765 160837 189220 311530 321674 529601 623060 643348 804185 1059202 1608370 2118404 2648005 3216740 5296010 10592020 294738533 589477066 1178954132 1473692665 2947385330 5010555061 5894770660 10021110122 20042220244 25052775305 50105550610 100211101220