Search a number
-
+
100310223100 = 22529711033061
BaseRepresentation
bin101110101101011110…
…1001000100011111100
3100120220210101022100011
41131122331020203330
53120413404114400
6114025404113004
710150531554013
oct1353275104374
9316823338304
10100310223100
11395a556232a
1217535835764
1395c7b797c9
144bd8335a7a
1529215b78ba
hex175af488fc

100310223100 has 36 divisors (see below), whose sum is σ = 217897569288. Its totient is φ = 40082728000.

The previous prime is 100310223077. The next prime is 100310223109. The reversal of 100310223100 is 1322013001.

It is a super-2 number, since 2×1003102231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310223109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419431 + ... + 613630.

It is an arithmetic number, because the mean of its divisors is an integer number (6052710258).

Almost surely, 2100310223100 is an apocalyptic number.

100310223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100310223100 is an abundant number, since it is smaller than the sum of its proper divisors (117587346188).

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

100310223100 is a wasteful number, since it uses less digits than its factorization.

100310223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034046 (or 1034039 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100310223100 its reverse (1322013001), we get a palindrome (101632236101).

The spelling of 100310223100 in words is "one hundred billion, three hundred ten million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 971 1942 3884 4855 9710 19420 24275 48550 97100 1033061 2066122 4132244 5165305 10330610 20661220 25826525 51653050 103306100 1003102231 2006204462 4012408924 5015511155 10031022310 20062044620 25077555775 50155111550 100310223100