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10222123525 = 52601680341
BaseRepresentation
bin10011000010100100…
…10011101000000101
3222101101201200022121
421201102103220011
5131413330423100
64410155325541
7511212421255
oct114122235005
928341650277
1010222123525
114376138779
121b934508b1
13c6ba1c603
146cd863965
153ec63751a
hex261493a05

10222123525 has 12 divisors (see below), whose sum is σ = 12696542404. Its totient is φ = 8164080000.

The previous prime is 10222123507. The next prime is 10222123543. The reversal of 10222123525 is 52532122201.

It is an interprime number because it is at equal distance from previous prime (10222123507) and next prime (10222123543).

It can be written as a sum of positive squares in 6 ways, for example, as 306916 + 10221816609 = 554^2 + 101103^2 .

It is a de Polignac number, because none of the positive numbers 2k-10222123525 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10222123525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325146 + ... + 355195.

Almost surely, 210222123525 is an apocalyptic number.

It is an amenable number.

10222123525 is a deficient number, since it is larger than the sum of its proper divisors (2474418879).

10222123525 is an equidigital number, since it uses as much as digits as its factorization.

10222123525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680952 (or 680947 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10222123525 its reverse (52532122201), we get a palindrome (62754245726).

The spelling of 10222123525 in words is "ten billion, two hundred twenty-two million, one hundred twenty-three thousand, five hundred twenty-five".

Divisors: 1 5 25 601 3005 15025 680341 3401705 17008525 408884941 2044424705 10222123525