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100010100018 = 23711311792103
BaseRepresentation
bin101110100100100010…
…0010000010100110010
3100120010212122110212110
41131021010100110302
53114310041200033
6113535523310150
710140225552423
oct1351104202462
9316125573773
10100010100018
1139461104424
121747121b356
13957a93799a
144baa52d64a
152905082363
hex1749110532

100010100018 has 32 divisors (see below), whose sum is σ = 204385876992. Its totient is φ = 32616256400.

The previous prime is 100010100011. The next prime is 100010100041. The reversal of 100010100018 is 810001010001.

It is a happy number.

It is a super-2 number, since 2×1000101000182 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010099976 and 100010100012.

It is not an unprimeable number, because it can be changed into a prime (100010100011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840246 + ... + 951857.

It is an arithmetic number, because the mean of its divisors is an integer number (6387058656).

Almost surely, 2100010100018 is an apocalyptic number.

100010100018 is an abundant number, since it is smaller than the sum of its proper divisors (104375776974).

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

100010100018 is a wasteful number, since it uses less digits than its factorization.

100010100018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792310.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100010100018 its reverse (810001010001), we get a palindrome (910011110019).

It can be divided in two parts, 10001010001 and 8, that multiplied together give a palindrome (80008080008).

The spelling of 100010100018 in words is "one hundred billion, ten million, one hundred thousand, eighteen".

Divisors: 1 2 3 6 71 131 142 213 262 393 426 786 9301 18602 27903 55806 1792103 3584206 5376309 10752618 127239313 234765493 254478626 381717939 469530986 704296479 763435878 1408592958 16668350003 33336700006 50005050009 100010100018