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100101031332 = 22318152338807
BaseRepresentation
bin101110100111001111…
…1001000010110100100
3100120101012202021011220
41131032133020112210
53120001331000312
6113552532300340
710142411504331
oct1351637102644
9316335667156
10100101031332
11394a8471475
12174977716b0
1395937247b3
144bb863d988
15290d044c8c
hex174e7c85a4

100101031332 has 48 divisors (see below), whose sum is σ = 234931062912. Its totient is φ = 33172554240.

The previous prime is 100101031301. The next prime is 100101031343. The reversal of 100101031332 is 233130101001.

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 15 ways as a sum of consecutive naturals, for example, 11361673 + ... + 11370479.

It is an arithmetic number, because the mean of its divisors is an integer number (4894397144).

Almost surely, 2100101031332 is an apocalyptic number.

100101031332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101031332 is an abundant number, since it is smaller than the sum of its proper divisors (134830031580).

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

100101031332 is a wasteful number, since it uses less digits than its factorization.

100101031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14226 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100101031332 its reverse (233130101001), we get a palindrome (333231132333).

The spelling of 100101031332 in words is "one hundred billion, one hundred one million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 181 362 543 724 1086 2172 5233 8807 10466 15699 17614 20932 26421 31398 35228 52842 62796 105684 947173 1594067 1894346 2841519 3188134 3788692 4782201 5683038 6376268 9564402 11366076 19128804 46087031 92174062 138261093 184348124 276522186 553044372 8341752611 16683505222 25025257833 33367010444 50050515666 100101031332