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100012312340 = 22538912855053
BaseRepresentation
bin101110100100100110…
…0101100011100010100
3100120011000210212121022
41131021030230130110
53114311122443330
6113540042540312
710140253425353
oct1351114543424
9316130725538
10100012312340
1139462385596
1217471b07698
13957b230955
144baa94799a
15290536cae5
hex174932c714

100012312340 has 24 divisors (see below), whose sum is σ = 210565784520. Its totient is φ = 39902081408.

The previous prime is 100012312339. The next prime is 100012312357. The reversal of 100012312340 is 43213210001.

It can be written as a sum of positive squares in 4 ways, for example, as 376127236 + 99636185104 = 19394^2 + 315652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6419747 + ... + 6435306.

It is an arithmetic number, because the mean of its divisors is an integer number (8773574355).

Almost surely, 2100012312340 is an apocalyptic number.

100012312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012312340 is an abundant number, since it is smaller than the sum of its proper divisors (110553472180).

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

100012312340 is a wasteful number, since it uses less digits than its factorization.

100012312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855451 (or 12855449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100012312340 its reverse (43213210001), we get a palindrome (143225522341).

The spelling of 100012312340 in words is "one hundred billion, twelve million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 389 778 1556 1945 3890 7780 12855053 25710106 51420212 64275265 128550530 257101060 5000615617 10001231234 20002462468 25003078085 50006156170 100012312340