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100808417240124 = 223116267611218487
BaseRepresentation
bin10110111010111101001001…
…111001100110010000111100
3111012221012010220222101000120
4112322331021321212100330
5101203121114303140444
6554222425245454540
730143111361252036
oct2672751171462074
9435835126871016
10100808417240124
112a136678509a70
12b38141ab71450
134433267c02179
141ac7221012c56
15b9c3d1a28b19
hex5baf49e6643c

100808417240124 has 48 divisors (see below), whose sum is σ = 256603863887616. Its totient is φ = 30547931414400.

The previous prime is 100808417240087. The next prime is 100808417240129. The reversal of 100808417240124 is 421042714808001.

It is a happy number.

100808417240124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100808417240129) 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, 82123209 + ... + 83341695.

It is an arithmetic number, because the mean of its divisors is an integer number (5345913830992).

Almost surely, 2100808417240124 is an apocalyptic number.

It is an amenable number.

100808417240124 is an abundant number, since it is smaller than the sum of its proper divisors (155795446647492).

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

100808417240124 is a wasteful number, since it uses less digits than its factorization.

100808417240124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845266 (or 1845264 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 100808417240124 in words is "one hundred trillion, eight hundred eight billion, four hundred seventeen million, two hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 626761 1218487 1253522 1880283 2436974 2507044 3655461 3760566 4873948 6894371 7310922 7521132 13403357 13788742 14621844 20683113 26806714 27577484 40210071 41366226 53613428 80420142 82732452 160840284 763700130607 1527400261214 2291100391821 3054800522428 4582200783642 8400701436677 9164401567284 16801402873354 25202104310031 33602805746708 50404208620062 100808417240124