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100506000006 = 232191372145089
BaseRepresentation
bin101110110011010011…
…1111101101010000110
3100121102102202210202200
41131212213331222012
53121314014000011
6114101040215330
710155426622116
oct1354647755206
9317372683680
10100506000006
1139696020425
121758b30a546
1396295b5829
144c16339046
15293388a856
hex17669fda86

100506000006 has 48 divisors (see below), whose sum is σ = 230897487600. Its totient is φ = 31507052544.

The previous prime is 100505999989. The next prime is 100506000041. The reversal of 100506000006 is 600000605001.

100506000006 is a `hidden beast` number, since 10 + 0 + 50 + 600 + 0 + 0 + 0 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025691 + ... + 1119398.

It is an arithmetic number, because the mean of its divisors is an integer number (4810364325).

Almost surely, 2100506000006 is an apocalyptic number.

100506000006 is an abundant number, since it is smaller than the sum of its proper divisors (130391487594).

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

100506000006 is a wasteful number, since it uses less digits than its factorization.

100506000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145253 (or 2145250 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100506000006 its reverse (600000605001), we get a palindrome (700506605007).

The spelling of 100506000006 in words is "one hundred billion, five hundred six million, six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 411 822 1233 2466 2603 5206 7809 15618 23427 46854 2145089 4290178 6435267 12870534 19305801 38611602 40756691 81513382 122270073 244540146 293877193 366810219 587754386 733620438 881631579 1763263158 2644894737 5289789474 5583666667 11167333334 16751000001 33502000002 50253000003 100506000006