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10098039121 = 3174
BaseRepresentation
bin10010110011110001…
…11101100101010001
3222001202020112111221
421121320331211101
5131140044222441
64350004005041
7505144626202
oct113170754521
928052215457
1010098039121
114312097285
121b59990781
13c4c0c55a1
146bb1a35a9
153e17c68d1
hex259e3d951

10098039121 has 5 divisors (see below), whose sum is σ = 10129994941. Its totient is φ = 10066184108.

The previous prime is 10098039109. The next prime is 10098039137. The reversal of 10098039121 is 12193089001.

The square root of 10098039121 is 100489.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7963599121 + 2134440000 = 89239^2 + 46200^2 .

It is not a de Polignac number, because 10098039121 - 25 = 10098039089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10098039181) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 31854855 + ... + 31855171.

Almost surely, 210098039121 is an apocalyptic number.

10098039121 is the 100489-th square number.

10098039121 is the 50245-th centered octagonal number.

It is an amenable number.

10098039121 is a deficient number, since it is larger than the sum of its proper divisors (31955820).

10098039121 is an frugal number, since it uses more digits than its factorization.

10098039121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 10098039121 in words is "ten billion, ninety-eight million, thirty-nine thousand, one hundred twenty-one".

Divisors: 1 317 100489 31855013 10098039121