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100132231212 = 22331380878819
BaseRepresentation
bin101110101000001011…
…0001001100000101100
3100120110101110101101000
41131100112021200230
53120032322344322
6114000005120300
710143240631146
oct1352026114054
9316411411330
10100132231212
11395140413a2
12174a60b9090
13959a029970
144bbc841c96
152910b593ac
hex175058982c

100132231212 has 96 divisors (see below), whose sum is σ = 279637747200. Its totient is φ = 30802614336.

The previous prime is 100132231201. The next prime is 100132231217. The reversal of 100132231212 is 212132231001.

100132231212 is a `hidden beast` number, since 100 + 1 + 322 + 31 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100132231217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11349739 + ... + 11358557.

It is an arithmetic number, because the mean of its divisors is an integer number (2912893200).

Almost surely, 2100132231212 is an apocalyptic number.

100132231212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100132231212 is an abundant number, since it is smaller than the sum of its proper divisors (179505515988).

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

100132231212 is a wasteful number, since it uses less digits than its factorization.

100132231212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16924 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100132231212 its reverse (212132231001), we get a palindrome (312264462213).

The spelling of 100132231212 in words is "one hundred billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 8087 8819 16174 17638 24261 26457 32348 35276 48522 52914 72783 79371 97044 105131 105828 114647 145566 158742 210262 218349 229294 238113 291132 315393 317484 343941 420524 436698 458588 476226 630786 687882 873396 946179 952452 1031823 1261572 1375764 1892358 2063646 2838537 3095469 3784716 4127292 5677074 6190938 11354148 12381876 71319253 142638506 213957759 285277012 427915518 641873277 855831036 927150289 1283746554 1854300578 1925619831 2567493108 2781450867 3708601156 3851239662 5562901734 7702479324 8344352601 11125803468 16688705202 25033057803 33377410404 50066115606 100132231212