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12400432101 = 33538665571
BaseRepresentation
bin10111000110001111…
…11001001111100101
31012000012121012221000
423203013321033211
5200344002311401
65410252143513
7616202635161
oct134307711745
935005535830
1012400432101
1152937a21a2
1224a0a67b99
1312280c79b5
14858c95ca1
154c89bc186
hex2e31f93e5

12400432101 has 16 divisors (see below), whose sum is σ = 18717635520. Its totient is φ = 8110973520.

The previous prime is 12400432039. The next prime is 12400432133. The reversal of 12400432101 is 10123400421.

12400432101 is a `hidden beast` number, since 12 + 400 + 43 + 210 + 1 = 666.

It is not a de Polignac number, because 12400432101 - 226 = 12333323237 is a prime.

It is a super-2 number, since 2×124004321012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400432141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4331355 + ... + 4334216.

It is an arithmetic number, because the mean of its divisors is an integer number (1169852220).

Almost surely, 212400432101 is an apocalyptic number.

It is an amenable number.

12400432101 is a deficient number, since it is larger than the sum of its proper divisors (6317203419).

12400432101 is an equidigital number, since it uses as much as digits as its factorization.

12400432101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665633 (or 8665627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12400432101 its reverse (10123400421), we get a palindrome (22523832522).

The spelling of 12400432101 in words is "twelve billion, four hundred million, four hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 27 53 159 477 1431 8665571 25996713 77990139 233970417 459275263 1377825789 4133477367 12400432101