Search a number
-
+
102331233303113 = 7310985131510693
BaseRepresentation
bin10111010001000111011000…
…110011110111101001001001
3111102022202210121001121012002
4113101013120303313221021
5101403043331211144423
61001350153011000345
730361121233233503
oct2721073063675111
9442282717047162
10102331233303113
112a673483480161
12b58858ab990b5
134513a42255a59
141b3ac0296ad73
15bc6d0be9d228
hex5d11d8cf7a49

102331233303113 has 16 divisors (see below), whose sum is σ = 104697076548240. Its totient is φ = 99991664123904.

The previous prime is 102331233303109. The next prime is 102331233303139. The reversal of 102331233303113 is 311303332133201.

It can be written as a sum of positive squares in 8 ways, for example, as 29510133176329 + 72821100126784 = 5432323^2 + 8533528^2 .

It is a cyclic number.

It is not a de Polignac number, because 102331233303113 - 22 = 102331233303109 is a prime.

It is a super-2 number, since 2×1023312333031132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102331233303413) 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, 66982595 + ... + 68493287.

It is an arithmetic number, because the mean of its divisors is an integer number (6543567284265).

Almost surely, 2102331233303113 is an apocalyptic number.

It is an amenable number.

102331233303113 is a deficient number, since it is larger than the sum of its proper divisors (2365843245127).

102331233303113 is a wasteful number, since it uses less digits than its factorization.

102331233303113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519388.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 102331233303113 its reverse (311303332133201), we get a palindrome (413634565436314).

The spelling of 102331233303113 in words is "one hundred two trillion, three hundred thirty-one billion, two hundred thirty-three million, three hundred three thousand, one hundred thirteen".

Divisors: 1 73 109 7957 8513 621449 927917 1510693 67737941 110280589 164665537 12020584201 12860529509 938818654157 1401797716481 102331233303113