Search a number
-
+
100222031168 = 267239726517
BaseRepresentation
bin101110101010110110…
…0101101010101000000
3100120200122102200202022
41131111230231111000
53120223314444133
6114012533541012
710145411131460
oct1352554552500
9316618380668
10100222031168
113955a7a6436
12175101a4768
1395b280b82c
144bca739ba0
152918996998
hex1755b2d540

100222031168 has 56 divisors (see below), whose sum is σ = 237171414912. Its totient is φ = 41084803584.

The previous prime is 100222031167. The next prime is 100222031171. The reversal of 100222031168 is 861130222001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222031167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4852955 + ... + 4873562.

Almost surely, 2100222031168 is an apocalyptic number.

It is an amenable number.

100222031168 is an abundant number, since it is smaller than the sum of its proper divisors (136949383744).

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

100222031168 is an equidigital number, since it uses as much as digits as its factorization.

100222031168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726559 (or 9726549 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 100222031168 its reverse (861130222001), we get a palindrome (961352253169).

The spelling of 100222031168 in words is "one hundred billion, two hundred twenty-two million, thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 9726517 19453034 38906068 68085619 77812136 136171238 155624272 223709891 272342476 311248544 447419782 544684952 622497088 894839564 1089369904 1565969237 1789679128 2178739808 3131938474 3579358256 4357479616 6263876948 7158716512 12527753896 14317433024 25055507792 50111015584 100222031168