Search a number
-
+
102322133021 = 412938517617
BaseRepresentation
bin101111101001011011…
…1111101100000011101
3100210010000010220220102
41133102313331200131
53134023431224041
6115001154230445
710251431531423
oct1372267754035
9323100126812
10102322133021
113a4381a3aa9
12179b7585425
139858933b54
144d49611113
1529dd02e09b
hex17d2dfd81d

102322133021 has 8 divisors (see below), whose sum is σ = 105175547064. Its totient is φ = 99485754880.

The previous prime is 102322133003. The next prime is 102322133033. The reversal of 102322133021 is 120331223201.

It can be written as a sum of positive squares in 4 ways, for example, as 27103036900 + 75219096121 = 164630^2 + 274261^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102322133021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102322132984 and 102322133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102322133041) 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 7 ways as a sum of consecutive naturals, for example, 4246796 + ... + 4270821.

It is an arithmetic number, because the mean of its divisors is an integer number (13146943383).

Almost surely, 2102322133021 is an apocalyptic number.

It is an amenable number.

102322133021 is a deficient number, since it is larger than the sum of its proper divisors (2853414043).

102322133021 is an equidigital number, since it uses as much as digits as its factorization.

102322133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517951.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102322133021 its reverse (120331223201), we get a palindrome (222653356222).

The spelling of 102322133021 in words is "one hundred two billion, three hundred twenty-two million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 41 293 12013 8517617 349222297 2495661781 102322133021