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102241438273 = 13295339712889
BaseRepresentation
bin101111100111000010…
…0001000101001000001
3100202220101022012112001
41133032010020221001
53133342302011043
6114545152504001
710246431612652
oct1371604105101
9322811265461
10102241438273
113a3a6698927
121799454b001
139844cbc490
144d3ca07529
1529d5dde74d
hex17ce108a41

102241438273 has 32 divisors (see below), whose sum is σ = 116353389600. Its totient is φ = 89170937856.

The previous prime is 102241438249. The next prime is 102241438283. The reversal of 102241438273 is 372834142201.

It can be written as a sum of positive squares in 16 ways, for example, as 8658674704 + 93582763569 = 93052^2 + 305913^2 .

It is not a de Polignac number, because 102241438273 - 29 = 102241437761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102241438283) 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, 7926013 + ... + 7938901.

It is an arithmetic number, because the mean of its divisors is an integer number (3636043425).

Almost surely, 2102241438273 is an apocalyptic number.

102241438273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102241438273 is a deficient number, since it is larger than the sum of its proper divisors (14111951327).

102241438273 is a wasteful number, since it uses less digits than its factorization.

102241438273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13381.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 102241438273 in words is "one hundred two billion, two hundred forty-one million, four hundred thirty-eight thousand, two hundred seventy-three".

Divisors: 1 13 29 53 377 397 689 1537 5161 11513 12889 19981 21041 149669 167557 273533 373781 610189 683117 4859153 5116933 7932457 8880521 19810393 66520129 148391057 257535109 271197449 1929083741 3525566837 7864726021 102241438273