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100242312104 = 231167117114519
BaseRepresentation
bin101110101011011101…
…0000100101110101000
3100120202001121001222002
41131112322010232220
53120244012441404
6114014540350132
710146045410534
oct1352672045650
9316661531862
10100242312104
1139570198840
1217516b45348
1395b6a8ca9c
144bcd2d8bc4
15291a650c1e
hex1756e84ba8

100242312104 has 64 divisors (see below), whose sum is σ = 208293465600. Its totient is φ = 44843198400.

The previous prime is 100242312043. The next prime is 100242312109. The reversal of 100242312104 is 401213242001.

It is a super-2 number, since 2×1002423121042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100242312109) by changing a digit.

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, 6896957 + ... + 6911475.

It is an arithmetic number, because the mean of its divisors is an integer number (3254585400).

Almost surely, 2100242312104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100242312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146732800).

100242312104 is an abundant number, since it is smaller than the sum of its proper divisors (108051153496).

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

100242312104 is a wasteful number, since it uses less digits than its factorization.

100242312104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15774 (or 15770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100242312104 its reverse (401213242001), we get a palindrome (501455554105).

The spelling of 100242312104 in words is "one hundred billion, two hundred forty-two million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1171 1474 2342 2948 4684 5896 9368 12881 14519 25762 29038 51524 58076 78457 103048 116152 156914 159709 313828 319418 627656 638836 863027 972773 1277672 1726054 1945546 3452108 3891092 6904216 7782184 10700503 17001749 21401006 34003498 42802012 68006996 85604024 136013992 187019239 374038478 748076956 1139117183 1496153912 2278234366 4556468732 9112937464 12530289013 25060578026 50121156052 100242312104