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100242312120 = 23325278450867
BaseRepresentation
bin101110101011011101…
…0000100101110111000
3100120202001121001222200
41131112322010232320
53120244012441440
6114014540350200
710146045410556
oct1352672045670
9316661531880
10100242312120
1139570198855
1217516b45360
1395b6a8cab2
144bcd2d8bd6
15291a650c30
hex1756e84bb8

100242312120 has 48 divisors (see below), whose sum is σ = 325787515560. Its totient is φ = 26731283136.

The previous prime is 100242312119. The next prime is 100242312127. The reversal of 100242312120 is 21213242001.

It is a happy number.

100242312120 is a `hidden beast` number, since 100 + 2 + 423 + 121 + 20 = 666.

It is a super-2 number, since 2×1002423121202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100242312093 and 100242312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242312127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139225074 + ... + 139225793.

Almost surely, 2100242312120 is an apocalyptic number.

100242312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100242312120 is an abundant number, since it is smaller than the sum of its proper divisors (225545203440).

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

100242312120 is a wasteful number, since it uses less digits than its factorization.

100242312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278450884 (or 278450877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100242312120 its reverse (21213242001), we get a palindrome (121455554121).

The spelling of 100242312120 in words is "one hundred billion, two hundred forty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 278450867 556901734 835352601 1113803468 1392254335 1670705202 2227606936 2506057803 2784508670 3341410404 4176763005 5012115606 5569017340 6682820808 8353526010 10024231212 11138034680 12530289015 16707052020 20048462424 25060578030 33414104040 50121156060 100242312120