Search a number
-
+
102102132023 = 4161281145283
BaseRepresentation
bin101111100010111000…
…0101110010100110111
3100202112200011201021022
41133011300232110313
53133101121211043
6114523255011355
710243120542203
oct1370560562467
9322480151238
10102102132023
113a334a9aaa1
1217955969b5b
139822195b48
144d28303b03
1529c8a73868
hex17c5c2e537

102102132023 has 16 divisors (see below), whose sum is σ = 106686109152. Its totient is φ = 97629504000.

The previous prime is 102102131977. The next prime is 102102132061. The reversal of 102102132023 is 320231201201.

It is a cyclic number.

It is not a de Polignac number, because 102102132023 - 218 = 102101869879 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102102131992 and 102102132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102132323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630140 + ... + 775422.

It is an arithmetic number, because the mean of its divisors is an integer number (6667881822).

Almost surely, 2102102132023 is an apocalyptic number.

102102132023 is a deficient number, since it is larger than the sum of its proper divisors (4583977129).

102102132023 is a wasteful number, since it uses less digits than its factorization.

102102132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145666.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102102132023 its reverse (320231201201), we get a palindrome (422333333224).

The spelling of 102102132023 in words is "one hundred two billion, one hundred two million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 41 61 281 2501 11521 17141 145283 702781 5956603 8862263 40824523 363352783 1673805443 2490295903 102102132023