Search a number
-
+
100222112101000 = 2353100222112101
BaseRepresentation
bin10110110010011011000111…
…011000111111001010001000
3111010212010210022102022220211
4112302123013120333022020
5101114014341144213000
6553053222551530504
730052544236640101
oct2662330730771210
9433763708368824
10100222112101000
1129a2aa6055010a
12b2a7872689a34
1343bcb9b5a6846
141aa6ac18d53a8
15b8c0191177ba
hex5b26c763f288

100222112101000 has 32 divisors (see below), whose sum is σ = 234519742318680. Its totient is φ = 40088844840000.

The previous prime is 100222112100973. The next prime is 100222112101049. The reversal of 100222112101000 is 101211222001.

It can be written as a sum of positive squares in 4 ways, for example, as 43761585484516 + 56460526616484 = 6615254^2 + 7514022^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50111055051 + ... + 50111057050.

Almost surely, 2100222112101000 is an apocalyptic number.

100222112101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222112101000 is an abundant number, since it is smaller than the sum of its proper divisors (134297630217680).

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

100222112101000 is a wasteful number, since it uses less digits than its factorization.

100222112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100222112122 (or 100222112108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100222112101000 its reverse (101211222001), we get a palindrome (100323323323001).

The spelling of 100222112101000 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 100222112101 200444224202 400888448404 501110560505 801776896808 1002221121010 2004442242020 2505552802525 4008884484040 5011105605050 10022211210100 12527764012625 20044422420200 25055528025250 50111056050500 100222112101000