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115375123201 = 13173753266221
BaseRepresentation
bin110101101110011100…
…1001010101100000001
3102000210200122112020011
41223130321022230001
53342242012420301
6125000321144521
711223050236402
oct1533471125401
9360720575204
10115375123201
1144a26281798
121a43aa8b141
13ab58c99c90
1458270119a9
153003e4ba51
hex1adce4ab01

115375123201 has 32 divisors (see below), whose sum is σ = 137664461088. Its totient is φ = 95685857280.

The previous prime is 115375123141. The next prime is 115375123223. The reversal of 115375123201 is 102321573511.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4875390976 + 110499732225 = 69824^2 + 332415^2 .

It is not a de Polignac number, because 115375123201 - 235 = 81015384833 is a prime.

It is a super-2 number, since 2×1153751232012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115375123601) 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, 300271 + ... + 566491.

It is an arithmetic number, because the mean of its divisors is an integer number (4302014409).

Almost surely, 2115375123201 is an apocalyptic number.

It is an amenable number.

115375123201 is a deficient number, since it is larger than the sum of its proper divisors (22289337887).

115375123201 is a wasteful number, since it uses less digits than its factorization.

115375123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266341.

The product of its (nonzero) digits is 6300, while the sum is 31.

Adding to 115375123201 its reverse (102321573511), we get a palindrome (217696696712).

The spelling of 115375123201 in words is "one hundred fifteen billion, three hundred seventy-five million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 13 17 37 53 221 481 629 689 901 1961 8177 11713 25493 33337 266221 433381 3460873 4525757 9850177 14109713 58834841 128052301 167453009 183426269 239865121 522059381 2176889117 3118246573 6786771953 8875009477 115375123201