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10125341620 = 225610182981
BaseRepresentation
bin10010110111000010…
…00111001110110100
3222010122121122111121
421123201013032310
5131214041412440
64352421113324
7505625661262
oct113341071664
928118548447
1010125341620
114326545029
121b66b58844
13c54964804
146c0a6d432
153e3dbb34a
hex25b8473b4

10125341620 has 24 divisors (see below), whose sum is σ = 21266958888. Its totient is φ = 4049424000.

The previous prime is 10125341617. The next prime is 10125341621. The reversal of 10125341620 is 2614352101.

It is a happy number.

10125341620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 870132004 + 9255209616 = 29498^2 + 96204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125341621) 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 7 ways as a sum of consecutive naturals, for example, 80530 + ... + 163510.

It is an arithmetic number, because the mean of its divisors is an integer number (886123287).

Almost surely, 210125341620 is an apocalyptic number.

10125341620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125341620 is an abundant number, since it is smaller than the sum of its proper divisors (11141617268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10125341620 is a wasteful number, since it uses less digits than its factorization.

10125341620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89091 (or 89089 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10125341620 its reverse (2614352101), we get a palindrome (12739693721).

The spelling of 10125341620 in words is "ten billion, one hundred twenty-five million, three hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 6101 12202 24404 30505 61010 82981 122020 165962 331924 414905 829810 1659620 506267081 1012534162 2025068324 2531335405 5062670810 10125341620