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100363502040 = 23351018280817
BaseRepresentation
bin101110101111000100…
…0011000000111011000
3100121001111122011022020
41131132020120013120
53121021024031130
6114034550054440
710152046456134
oct1353610300730
9317044564266
10100363502040
113962264260a
121754b64a420
139605c124c9
144c014443c4
1529260dde10
hex175e2181d8

100363502040 has 64 divisors (see below), whose sum is σ = 304071636960. Its totient is φ = 26498611200.

The previous prime is 100363502009. The next prime is 100363502047. The reversal of 100363502040 is 40205363001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100363502040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100363502047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4128289 + ... + 4152528.

Almost surely, 2100363502040 is an apocalyptic number.

100363502040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100363502040 is an abundant number, since it is smaller than the sum of its proper divisors (203708134920).

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

100363502040 is a wasteful number, since it uses less digits than its factorization.

100363502040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280932 (or 8280928 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 100363502040 its reverse (40205363001), we get a palindrome (140568865041).

The spelling of 100363502040 in words is "one hundred billion, three hundred sixty-three million, five hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 8280817 16561634 24842451 33123268 41404085 49684902 66246536 82808170 99369804 124212255 165616340 198739608 248424510 331232680 496849020 836362517 993698040 1672725034 2509087551 3345450068 4181812585 5018175102 6690900136 8363625170 10036350204 12545437755 16727250340 20072700408 25090875510 33454500680 50181751020 100363502040