Search a number
-
+
102221561151 = 32294721071657
BaseRepresentation
bin101111100110011100…
…0010011110100111111
3100202211222220100020100
41133030320103310333
53133322204424101
6114543202452143
710246100635113
oct1371470236477
9322758810210
10102221561151
113a396451956
1217989964053
139840b4cc78
144d3a111743
1529d42b4e86
hex17cce13d3f

102221561151 has 72 divisors (see below), whose sum is σ = 157617504720. Its totient is φ = 63757483776.

The previous prime is 102221561149. The next prime is 102221561177. The reversal of 102221561151 is 151165122201.

It is a happy number.

102221561151 is a `hidden beast` number, since 1 + 0 + 22 + 21 + 5 + 611 + 5 + 1 = 666.

It is not a de Polignac number, because 102221561151 - 21 = 102221561149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221561551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61689915 + ... + 61691571.

It is an arithmetic number, because the mean of its divisors is an integer number (2189132010).

Almost surely, 2102221561151 is an apocalyptic number.

102221561151 is a deficient number, since it is larger than the sum of its proper divisors (55395943569).

102221561151 is a wasteful number, since it uses less digits than its factorization.

102221561151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 102221561151 its reverse (151165122201), we get a palindrome (253386683352).

The spelling of 102221561151 in words is "one hundred two billion, two hundred twenty-one million, five hundred sixty-one thousand, one hundred fifty-one".

Divisors: 1 3 9 29 47 87 107 141 261 321 423 963 1363 1657 2209 3103 4089 4971 5029 6627 9309 12267 14913 15087 19881 27927 45261 48053 64061 77879 144159 145841 177299 192183 233637 236363 432477 437523 531897 576549 700911 709089 1312569 1595691 2127267 2258491 3660313 5141671 6775473 6854527 8333053 10980939 15425013 20326419 20563581 24999159 32942817 46275039 61690743 74997477 106149077 241658537 318447231 391653491 724975611 955341693 1174960473 2174926833 3524881419 11357951239 34073853717 102221561151