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10121432121 = 321124603569
BaseRepresentation
bin10010110110100100…
…01100110000111001
3222010101021000200100
421123102030300321
5131212041311441
64352201230013
7505550516313
oct113322146071
928111230610
1010121432121
114324314839
121b65792309
13c53bc61b8
146c03327b3
153e3897cb6
hex25b48cc39

10121432121 has 6 divisors (see below), whose sum is σ = 14619846410. Its totient is φ = 6747621408.

The previous prime is 10121432119. The next prime is 10121432131. The reversal of 10121432121 is 12123412101.

It can be written as a sum of positive squares in only one way, i.e., 8134055721 + 1987376400 = 90189^2 + 44580^2 .

It is not a de Polignac number, because 10121432121 - 21 = 10121432119 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121432094 and 10121432103.

It is not an unprimeable number, because it can be changed into a prime (10121432131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562301776 + ... + 562301793.

Almost surely, 210121432121 is an apocalyptic number.

It is an amenable number.

10121432121 is a deficient number, since it is larger than the sum of its proper divisors (4498414289).

10121432121 is a wasteful number, since it uses less digits than its factorization.

10121432121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124603575 (or 1124603572 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10121432121 its reverse (12123412101), we get a palindrome (22244844222).

The spelling of 10121432121 in words is "ten billion, one hundred twenty-one million, four hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 1124603569 3373810707 10121432121