Search a number
-
+
102131402241 = 31110912836747
BaseRepresentation
bin101111100011110000…
…0011000011000000001
3100202121201020210110110
41133013200120120001
53133131114332431
6114530222221533
710243624411131
oct1370740303001
9322551223413
10102131402241
113a34a572160
12179637248a9
1398282738bb
144d2c162ac1
1529cb406346
hex17c7818601

102131402241 has 16 divisors (see below), whose sum is σ = 148690983168. Its totient is φ = 61841062800.

The previous prime is 102131402213. The next prime is 102131402249. The reversal of 102131402241 is 142204131201.

It is not a de Polignac number, because 102131402241 - 25 = 102131402209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102131402249) 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, 1382371 + ... + 1454376.

It is an arithmetic number, because the mean of its divisors is an integer number (9293186448).

Almost surely, 2102131402241 is an apocalyptic number.

102131402241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102131402241 is a deficient number, since it is larger than the sum of its proper divisors (46559580927).

102131402241 is a wasteful number, since it uses less digits than its factorization.

102131402241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837852.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102131402241 its reverse (142204131201), we get a palindrome (244335533442).

The spelling of 102131402241 in words is "one hundred two billion, one hundred thirty-one million, four hundred two thousand, two hundred forty-one".

Divisors: 1 3 11 33 1091 3273 12001 36003 2836747 8510241 31204217 93612651 3094890977 9284672931 34043800747 102131402241