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103101252011413 = 232541701513917
BaseRepresentation
bin10111011100010100100001…
…100000001000010110010101
3111112001101100112002220202121
4113130110201200020112111
5102003202331003331123
61003140021124135541
730500551065246025
oct2734244140102625
9445041315086677
10103101252011413
112a93aaa4a09727
12b6918688375b1
13456b53898a826
141b661ad157a85
15bdbd7810e75d
hex5dc521808595

103101252011413 has 24 divisors (see below), whose sum is σ = 108132279700536. Its totient is φ = 98295685488000.

The previous prime is 103101252011369. The next prime is 103101252011423. The reversal of 103101252011413 is 314110252101301.

It can be written as a sum of positive squares in 4 ways, for example, as 51816991353604 + 51284260657809 = 7198402^2 + 7161303^2 .

It is a de Polignac number, because none of the positive numbers 2k-103101252011413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101252011423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200361531 + ... + 200875447.

It is an arithmetic number, because the mean of its divisors is an integer number (4505511654189).

Almost surely, 2103101252011413 is an apocalyptic number.

It is an amenable number.

103101252011413 is a deficient number, since it is larger than the sum of its proper divisors (5031027689123).

103101252011413 is an equidigital number, since it uses as much as digits as its factorization.

103101252011413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515205 (or 515182 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 103101252011413 in words is "one hundred three trillion, one hundred one billion, two hundred fifty-two million, eleven thousand, four hundred thirteen".

Divisors: 1 23 529 541 701 12443 16123 286189 370829 379241 513917 8722543 11820091 200618489 271862093 278029097 360255817 6394669231 8285883791 147077392313 190575327193 194898396997 4482663130931 103101252011413