Search a number
-
+
100608123132 = 22321132099677
BaseRepresentation
bin101110110110010110…
…1100010000011111100
3100121200112221012100200
41131230231202003330
53122021134420012
6114115125123500
710161106636146
oct1355455420374
9317615835320
10100608123132
1139738732000
12175b9559590
1396447c080a
144c25b1dc96
15293c80e3dc
hex176cb620fc

100608123132 has 72 divisors (see below), whose sum is σ = 279727501872. Its totient is φ = 30487295520.

The previous prime is 100608123043. The next prime is 100608123173. The reversal of 100608123132 is 231321806001.

It is a happy number.

100608123132 is a `hidden beast` number, since 1 + 0 + 0 + 608 + 1 + 23 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100608123096 and 100608123105.

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, 1001923 + ... + 1097754.

Almost surely, 2100608123132 is an apocalyptic number.

100608123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100608123132 is an abundant number, since it is smaller than the sum of its proper divisors (179119378740).

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

100608123132 is a wasteful number, since it uses less digits than its factorization.

100608123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099720 (or 2099693 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 100608123132 its reverse (231321806001), we get a palindrome (331929929133).

The spelling of 100608123132 in words is "one hundred billion, six hundred eight million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1331 1452 2178 2662 3993 4356 5324 7986 11979 15972 23958 47916 2099677 4199354 6299031 8398708 12598062 18897093 23096447 25196124 37794186 46192894 69289341 75588372 92385788 138578682 207868023 254060917 277157364 415736046 508121834 762182751 831472092 1016243668 1524365502 2286548253 2794670087 3048731004 4573096506 5589340174 8384010261 9146193012 11178680348 16768020522 25152030783 33536041044 50304061566 100608123132