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100010213220 = 22352385132
BaseRepresentation
bin101110100100100010…
…0101011111101100100
3100120010212212020011010
41131021010223331210
53114310103310340
6113535525542220
710140226533441
oct1351104537544
9316125766133
10100010213220
1139461181485
1217471274970
13957a977378
144baa55c9c8
1529050a5b80
hex174912bf64

100010213220 has 72 divisors (see below), whose sum is σ = 292238081856. Its totient is φ = 25506854912.

The previous prime is 100010213207. The next prime is 100010213249. The reversal of 100010213220 is 22312010001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100010213196 and 100010213205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11743684 + ... + 11752196.

It is an arithmetic number, because the mean of its divisors is an integer number (4058862248).

Almost surely, 2100010213220 is an apocalyptic number.

100010213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010213220 is an abundant number, since it is smaller than the sum of its proper divisors (192227868636).

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

100010213220 is an frugal number, since it uses more digits than its factorization.

100010213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100010213220 its reverse (22312010001), we get a palindrome (122322223221).

The spelling of 100010213220 in words is "one hundred billion, ten million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 8513 17026 25539 34052 42565 51078 85130 102156 127695 170260 195799 255390 391598 510780 587397 783196 978995 1174794 1957990 2349588 2936985 3915980 5873970 11747940 72471169 144942338 217413507 289884676 362355845 434827014 724711690 869654028 1087067535 1449423380 1666836887 2174135070 3333673774 4348270140 5000510661 6667347548 8334184435 10001021322 16668368870 20002042644 25002553305 33336737740 50005106610 100010213220