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102442024311 = 31123658120509
BaseRepresentation
bin101111101101000000…
…1010011110101110111
3100210102100202000211120
41133122001103311313
53134300124234221
6115021120035023
710254415560624
oct1373201236567
9323370660746
10102442024311
113a499941110
1217a2b762a73
139877720443
144d5b4dd34b
1529e88125c6
hex17da053d77

102442024311 has 32 divisors (see below), whose sum is σ = 155516336640. Its totient is φ = 59374761600.

The previous prime is 102442024303. The next prime is 102442024339. The reversal of 102442024311 is 113420244201.

It is not a de Polignac number, because 102442024311 - 23 = 102442024303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102442024211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4984725 + ... + 5005233.

It is an arithmetic number, because the mean of its divisors is an integer number (4859885520).

Almost surely, 2102442024311 is an apocalyptic number.

102442024311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102442024311 is a deficient number, since it is larger than the sum of its proper divisors (53074312329).

102442024311 is a wasteful number, since it uses less digits than its factorization.

102442024311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102442024311 its reverse (113420244201), we get a palindrome (215862268512).

The spelling of 102442024311 in words is "one hundred two billion, four hundred forty-two million, twenty-four thousand, three hundred eleven".

Divisors: 1 3 11 23 33 69 253 759 6581 19743 20509 61527 72391 151363 217173 225599 454089 471707 676797 1415121 1664993 4994979 5188777 15566331 134969729 404909187 1484667019 3104303767 4454001057 9312911301 34147341437 102442024311