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10412131433 = 112473318181
BaseRepresentation
bin10011011001001110…
…01000010001101001
3222212122021002011112
421230213020101221
5132311001201213
64441104040105
7516010441214
oct115447102151
928778232145
1010412131433
114463416500
122027003035
13c9c1b8822
1470aba477b
1540e16aea8
hex26c9c8469

10412131433 has 12 divisors (see below), whose sum is σ = 11447787204. Its totient is φ = 9463053600.

The previous prime is 10412131427. The next prime is 10412131439. The reversal of 10412131433 is 33413121401.

It is an interprime number because it is at equal distance from previous prime (10412131427) and next prime (10412131439).

It can be written as a sum of positive squares in 2 ways, for example, as 6302295769 + 4109835664 = 79387^2 + 64108^2 .

It is a de Polignac number, because none of the positive numbers 2k-10412131433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10412131399 and 10412131408.

It is not an unprimeable number, because it can be changed into a prime (10412131439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563603 + ... + 581783.

It is an arithmetic number, because the mean of its divisors is an integer number (953982267).

Almost surely, 210412131433 is an apocalyptic number.

It is an amenable number.

10412131433 is a deficient number, since it is larger than the sum of its proper divisors (1035655771).

10412131433 is a wasteful number, since it uses less digits than its factorization.

10412131433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22936 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10412131433 its reverse (33413121401), we get a palindrome (43825252834).

The spelling of 10412131433 in words is "ten billion, four hundred twelve million, one hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 11 121 4733 18181 52063 199991 572693 2199901 86050673 946557403 10412131433