Search a number
-
+
100222132122 = 2327795413747
BaseRepresentation
bin101110101010110110…
…1000101111110011010
3100120200122121211020100
41131111231011332122
53120223331211442
6114012540040230
710145412032010
oct1352555057632
9316618554210
10100222132122
113955a865272
1217510233076
1395b2845778
144bca7648b0
1529189b684c
hex1755b45f9a

100222132122 has 24 divisors (see below), whose sum is σ = 248169089376. Its totient is φ = 28634894856.

The previous prime is 100222132111. The next prime is 100222132123. The reversal of 100222132122 is 221231222001.

100222132122 is a `hidden beast` number, since 100 + 2 + 221 + 321 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100222132095 and 100222132104.

It is not an unprimeable number, because it can be changed into a prime (100222132123) 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, 397706748 + ... + 397706999.

It is an arithmetic number, because the mean of its divisors is an integer number (10340378724).

Almost surely, 2100222132122 is an apocalyptic number.

100222132122 is an abundant number, since it is smaller than the sum of its proper divisors (147946957254).

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

100222132122 is a wasteful number, since it uses less digits than its factorization.

100222132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795413762 (or 795413759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100222132122 its reverse (221231222001), we get a palindrome (321453354123).

The spelling of 100222132122 in words is "one hundred billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 795413747 1590827494 2386241241 4772482482 5567896229 7158723723 11135792458 14317447446 16703688687 33407377374 50111066061 100222132122