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100221417107 = 7279220711731
BaseRepresentation
bin101110101010110101…
…0010111011010010011
3100120200121021111102022
41131111222113122103
53120223140321412
6114012512442055
710145402663300
oct1352552273223
9316617244368
10100221417107
113955a417049
121750bb4932b
1395b2655196
144bca61a0a7
1529188c4a72
hex1755a97693

100221417107 has 24 divisors (see below), whose sum is σ = 118123407360. Its totient is φ = 84771020880.

The previous prime is 100221417097. The next prime is 100221417161. The reversal of 100221417107 is 701714122001.

It is not a de Polignac number, because 100221417107 - 212 = 100221413011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221417707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8537432 + ... + 8549162.

It is an arithmetic number, because the mean of its divisors is an integer number (4921808640).

Almost surely, 2100221417107 is an apocalyptic number.

100221417107 is a deficient number, since it is larger than the sum of its proper divisors (17901990253).

100221417107 is a wasteful number, since it uses less digits than its factorization.

100221417107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

Adding to 100221417107 its reverse (701714122001), we get a palindrome (801935539108).

The spelling of 100221417107 in words is "one hundred billion, two hundred twenty-one million, four hundred seventeen thousand, one hundred seven".

Divisors: 1 7 49 79 553 2207 3871 11731 15449 82117 108143 174353 574819 926749 1220471 6487243 8543297 25890317 45410701 181232219 1268625533 2045335043 14317345301 100221417107