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1002202000100 = 225275327013531
BaseRepresentation
bin11101001010101111110…
…01001110101011100100
310112210212011212121202022
432211113321032223210
5112410002203000400
62044223311002312
7132256333305260
oct16452771165344
93483764777668
101002202000100
113570389a1194
12142297509398
137367954a692
1436714a850a0
151b109c2ab85
hexe957e4eae4

1002202000100 has 72 divisors (see below), whose sum is σ = 2532356543808. Its totient is φ = 337128854400.

The previous prime is 1002202000097. The next prime is 1002202000123. The reversal of 1002202000100 is 10002022001.

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 23 ways as a sum of consecutive naturals, for example, 13469666 + ... + 13543865.

It is an arithmetic number, because the mean of its divisors is an integer number (35171618664).

Almost surely, 21002202000100 is an apocalyptic number.

1002202000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002202000100 is an abundant number, since it is smaller than the sum of its proper divisors (1530154543708).

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

1002202000100 is a wasteful number, since it uses less digits than its factorization.

1002202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27013605 (or 27013598 counting only the distinct ones).

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

Adding to 1002202000100 its reverse (10002022001), we get a palindrome (1012204022101).

The spelling of 1002202000100 in words is "one trillion, two billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1855 2650 3710 5300 7420 9275 18550 37100 27013531 54027062 108054124 135067655 189094717 270135310 378189434 540270620 675338275 756378868 945473585 1350676550 1431717143 1890947170 2701353100 2863434286 3781894340 4727367925 5726868572 7158585715 9454735850 10022020001 14317171430 18909471700 20044040002 28634342860 35792928575 40088080004 50110100005 71585857150 100220200010 143171714300 200440400020 250550500025 501101000050 1002202000100