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10145123225 = 5210931111971
BaseRepresentation
bin10010111001011001…
…00100101110011001
3222012000211122202122
421130230210232121
5131234122420400
64354405111025
7506256060506
oct113454445631
928160748678
1010145123225
114336726266
121b716b8475
13c58a9c6c3
146c353c4ad
153e59c7685
hex25cb24b99

10145123225 has 24 divisors (see below), whose sum is σ = 12737250240. Its totient is φ = 8015112000.

The previous prime is 10145123221. The next prime is 10145123237. The reversal of 10145123225 is 52232154101.

10145123225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145123225 - 22 = 10145123221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10145123194 and 10145123203.

It is not an unprimeable number, because it can be changed into a prime (10145123221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841490 + ... + 853460.

It is an arithmetic number, because the mean of its divisors is an integer number (530718760).

Almost surely, 210145123225 is an apocalyptic number.

It is an amenable number.

10145123225 is a deficient number, since it is larger than the sum of its proper divisors (2592127015).

10145123225 is a wasteful number, since it uses less digits than its factorization.

10145123225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401 (or 12396 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 10145123225 its reverse (52232154101), we get a palindrome (62377277326).

The spelling of 10145123225 in words is "ten billion, one hundred forty-five million, one hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 109 311 545 1555 2725 7775 11971 33899 59855 169495 299275 847475 1304839 3722981 6524195 18614905 32620975 93074525 405804929 2029024645 10145123225