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102141132223 = 1331937270493
BaseRepresentation
bin101111100100000010…
…1011111110110111111
3100202122101120010111011
41133020011133312333
53133141112212343
6114531210540051
710244103204334
oct1371005376677
9322571503434
10102141132223
113a355008469
1217966a37627
13982a29c5a0
144d2d57698b
1529cc1c929d
hex17c815fdbf

102141132223 has 16 divisors (see below), whose sum is σ = 113668070656. Its totient is φ = 91144984320.

The previous prime is 102141132187. The next prime is 102141132227. The reversal of 102141132223 is 322231141201.

It is not a de Polignac number, because 102141132223 - 29 = 102141131711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102141132194 and 102141132203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102141132227) 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, 242365 + ... + 512857.

It is an arithmetic number, because the mean of its divisors is an integer number (7104254416).

Almost surely, 2102141132223 is an apocalyptic number.

102141132223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102141132223 is a deficient number, since it is larger than the sum of its proper divisors (11526938433).

102141132223 is a wasteful number, since it uses less digits than its factorization.

102141132223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271474.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102141132223 its reverse (322231141201), we get a palindrome (424372273424).

The spelling of 102141132223 in words is "one hundred two billion, one hundred forty-one million, one hundred thirty-two thousand, two hundred twenty-three".

Divisors: 1 13 31 403 937 12181 29047 270493 377611 3516409 8385283 109008679 253451941 3294875233 7857010171 102141132223