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102442102323 = 311172923332699
BaseRepresentation
bin101111101101000000…
…1100110111000110011
3100210102100212222211220
41133122001212320303
53134300134233243
6115021121440123
710254416334231
oct1373201467063
9323370788756
10102442102323
113a499994790
1217a2b7a0043
139877749ac2
144d5b51d951
1529e882a783
hex17da066e33

102442102323 has 64 divisors (see below), whose sum is σ = 163342656000. Its totient is φ = 56373954560.

The previous prime is 102442102313. The next prime is 102442102331. The reversal of 102442102323 is 323201244201.

It is a happy number.

It is not a de Polignac number, because 102442102323 - 25 = 102442102291 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102442102293 and 102442102302.

It is not an unprimeable number, because it can be changed into a prime (102442102303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37954228 + ... + 37956926.

It is an arithmetic number, because the mean of its divisors is an integer number (2552229000).

Almost surely, 2102442102323 is an apocalyptic number.

102442102323 is a deficient number, since it is larger than the sum of its proper divisors (60900553677).

102442102323 is a wasteful number, since it uses less digits than its factorization.

102442102323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102442102323 its reverse (323201244201), we get a palindrome (425643346524).

The spelling of 102442102323 in words is "one hundred two billion, four hundred forty-two million, one hundred two thousand, three hundred twenty-three".

Divisors: 1 3 11 17 29 33 51 87 187 319 493 561 957 1479 2333 2699 5423 6999 8097 16269 25663 29689 39661 45883 67657 76989 78271 89067 118983 137649 202971 234813 436271 504713 744227 860981 1150169 1308813 1330607 1514139 2232681 2582943 3450507 3991821 6296767 12651859 14636677 18890301 37955577 43910031 69264437 107045039 182606243 207793311 321135117 547818729 1177495429 2008668673 3104306131 3532486287 6026006019 9312918393 34147367441 102442102323