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10114113025 = 5217113210601
BaseRepresentation
bin10010110101101100…
…10001111000000001
3222002212111011202201
421122312101320001
5131203203104100
64351340313201
7505431353662
oct113266217001
928085434681
1010114113025
1143201758a5
121b63242801
13c52532983
146bd389369
153e2dee36a
hex25ad91e01

10114113025 has 24 divisors (see below), whose sum is σ = 13396814424. Its totient is φ = 7547904000.

The previous prime is 10114113019. The next prime is 10114113029. The reversal of 10114113025 is 52031141101.

It can be written as a sum of positive squares in 12 ways, for example, as 8067093489 + 2047019536 = 89817^2 + 45244^2 .

It is not a de Polignac number, because 10114113025 - 211 = 10114110977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10114112993 and 10114113011.

It is not an unprimeable number, because it can be changed into a prime (10114113029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57276 + ... + 153325.

It is an arithmetic number, because the mean of its divisors is an integer number (558200601).

Almost surely, 210114113025 is an apocalyptic number.

It is an amenable number.

10114113025 is a deficient number, since it is larger than the sum of its proper divisors (3282701399).

10114113025 is a wasteful number, since it uses less digits than its factorization.

10114113025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210741 (or 210736 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10114113025 its reverse (52031141101), we get a palindrome (62145254126).

The spelling of 10114113025 in words is "ten billion, one hundred fourteen million, one hundred thirteen thousand, twenty-five".

Divisors: 1 5 17 25 85 113 425 565 1921 2825 9605 48025 210601 1053005 3580217 5265025 17901085 23797913 89505425 118989565 404564521 594947825 2022822605 10114113025