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100551350412 = 223223148781667
BaseRepresentation
bin101110110100101010…
…0111101100010001100
3100121112121002211211100
41131221110331202030
53121412121203122
6114105340223100
710156520243052
oct1355124754214
9317477084740
10100551350412
11397096858a7
12175a253aa90
139635b037a6
144c1c3821d2
152937847aac
hex176953d88c

100551350412 has 72 divisors (see below), whose sum is σ = 265404013056. Its totient is φ = 32037898464.

The previous prime is 100551350369. The next prime is 100551350477. The reversal of 100551350412 is 214053155001.

100551350412 is a `hidden beast` number, since 100 + 5 + 51 + 3 + 504 + 1 + 2 = 666.

It is a super-2 number, since 2×1005513504122 (a number of 23 digits) contains 22 as substring.

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, 1190403 + ... + 1272069.

It is an arithmetic number, because the mean of its divisors is an integer number (3686166848).

Almost surely, 2100551350412 is an apocalyptic number.

100551350412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100551350412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132702006528).

100551350412 is an abundant number, since it is smaller than the sum of its proper divisors (164852662644).

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

100551350412 is a wasteful number, since it uses less digits than its factorization.

100551350412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83187 (or 83182 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 100551350412 in words is "one hundred billion, five hundred fifty-one million, three hundred fifty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1487 2974 4461 5948 8922 13383 17844 26766 34201 53532 68402 81667 102603 136804 163334 205206 245001 307809 326668 410412 490002 615618 735003 980004 1231236 1470006 1878341 2940012 3756682 5635023 7513364 11270046 16905069 22540092 33810138 67620276 121438829 242877658 364316487 485755316 728632974 1092949461 1457265948 2185898922 2793093067 4371797844 5586186134 8379279201 11172372268 16758558402 25137837603 33517116804 50275675206 100551350412