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100104100144345 = 5118364334103591
BaseRepresentation
bin10110110000101101001101…
…010101000110010011011001
3111010102212011212002210012101
4112300231031111012103121
5101110101144114104340
6552523104434043401
730041165630600323
oct2660551525062331
9433385155083171
10100104100144345
1129994a01906420
12b288a18719561
1343b1a1223b4ab
141aa10c8614613
15b88e0d961c9a
hex5b0b4d5464d9

100104100144345 has 32 divisors (see below), whose sum is σ = 132830489723904. Its totient is φ = 71813975678400.

The previous prime is 100104100144331. The next prime is 100104100144429. The reversal of 100104100144345 is 543441001401001.

It is not a de Polignac number, because 100104100144345 - 25 = 100104100144313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14116501 + ... + 19987090.

It is an arithmetic number, because the mean of its divisors is an integer number (4150952803872).

Almost surely, 2100104100144345 is an apocalyptic number.

It is an amenable number.

100104100144345 is a deficient number, since it is larger than the sum of its proper divisors (32726389579559).

100104100144345 is a wasteful number, since it uses less digits than its factorization.

100104100144345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34104333.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 100104100144345 its reverse (543441001401001), we get a palindrome (643545101545346).

The spelling of 100104100144345 in words is "one hundred trillion, one hundred four billion, one hundred million, one hundred forty-four thousand, three hundred forty-five".

Divisors: 1 5 11 55 83 415 643 913 3215 4565 7073 35365 53369 266845 587059 2935295 34103591 170517955 375139501 1875697505 2830598053 14152990265 21928609013 31136578583 109643045065 155682892915 241214699143 1206073495715 1820074548079 9100372740395 20020820028869 100104100144345