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10431412121 = 1342110911747
BaseRepresentation
bin10011011011100001…
…01011011110011001
3222220222112122022002
421231300223132121
5132330420141441
64443033210345
7516333353144
oct115560533631
928828478262
1010431412121
114473295359
1220315609b5
13ca31a9710
1470d58305b
15410bc8b9b
hex26dc2b799

10431412121 has 16 divisors (see below), whose sum is σ = 11277284928. Its totient is φ = 9591825600.

The previous prime is 10431412067. The next prime is 10431412139. The reversal of 10431412121 is 12121413401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10431412121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10431412093 and 10431412102.

It is not an unprimeable number, because it can be changed into a prime (10431412181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5970170 + ... + 5971916.

It is an arithmetic number, because the mean of its divisors is an integer number (704830308).

Almost surely, 210431412121 is an apocalyptic number.

It is an amenable number.

10431412121 is a deficient number, since it is larger than the sum of its proper divisors (845872807).

10431412121 is a wasteful number, since it uses less digits than its factorization.

10431412121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10431412121 its reverse (12121413401), we get a palindrome (22552825522).

The spelling of 10431412121 in words is "ten billion, four hundred thirty-one million, four hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 421 1091 1747 5473 14183 22711 459311 735487 1905977 5971043 9561331 24777701 802416317 10431412121