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10432214013 = 313220576359
BaseRepresentation
bin10011011011100111…
…01111001111111101
3222221001001101021210
421231303233033331
5132331121322023
64443102315033
7516343233054
oct115563571775
928831041253
1010432214013
114473792881
122031888a79
13ca33ca700
1470d71139b
15410cd6593
hex26dcef3fd

10432214013 has 12 divisors (see below), whose sum is σ = 15061895520. Its totient is φ = 6419823696.

The previous prime is 10432213903. The next prime is 10432214021. The reversal of 10432214013 is 31041223401.

10432214013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10432214013 - 212 = 10432209917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10432210013) 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, 10287673 + ... + 10288686.

It is an arithmetic number, because the mean of its divisors is an integer number (1255157960).

Almost surely, 210432214013 is an apocalyptic number.

10432214013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10432214013 is a deficient number, since it is larger than the sum of its proper divisors (4629681507).

10432214013 is a wasteful number, since it uses less digits than its factorization.

10432214013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20576388 (or 20576375 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10432214013 its reverse (31041223401), we get a palindrome (41473437414).

The spelling of 10432214013 in words is "ten billion, four hundred thirty-two million, two hundred fourteen thousand, thirteen".

Divisors: 1 3 13 39 169 507 20576359 61729077 267492667 802478001 3477404671 10432214013