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10970258121 = 32349132
BaseRepresentation
bin10100011011110000…
…01101101011001001
31001022112110212001100
422031320031223021
5134431341224441
65012322412013
7535565440554
oct121570155311
931275425040
1010970258121
11471a474329
122161b01009
13105aa12cc4
14760d6b69b
15443166cb6
hex28de0dac9

10970258121 has 9 divisors (see below), whose sum is σ = 15846382279. Its totient is φ = 7313295936.

The previous prime is 10970258113. The next prime is 10970258147. The reversal of 10970258121 is 12185207901.

It is a happy number.

The square root of 10970258121 is 104739.

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

10970258121 is a `hidden beast` number, since 1 + 0 + 9 + 70 + 2 + 581 + 2 + 1 = 666.

10970258121 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 only one way, i.e., 5294745225 + 5675512896 = 72765^2 + 75336^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10970258121 - 23 = 10970258113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10970358121) 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 8 ways as a sum of consecutive naturals, for example, 296761 + ... + 331673.

Almost surely, 210970258121 is an apocalyptic number.

10970258121 is the 104739-th square number.

10970258121 is the 52370-th centered octagonal number.

It is an amenable number.

10970258121 is a deficient number, since it is larger than the sum of its proper divisors (4876124158).

10970258121 is an frugal number, since it uses more digits than its factorization.

10970258121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69832 (or 34916 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 10970258121 by its sum of digits (36), we get a square (394929292356 = 6284342).

The spelling of 10970258121 in words is "ten billion, nine hundred seventy million, two hundred fifty-eight thousand, one hundred twenty-one".

Divisors: 1 3 9 34913 104739 314217 1218917569 3656752707 10970258121