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10432211331 = 313137697043
BaseRepresentation
bin10011011011100111…
…01110100110000011
3222221001001020121110
421231303232212003
5132331121230311
64443102254403
7516343222203
oct115563564603
928831036543
1010432211331
114473790863
122031887403
13ca33c9419
1470d710403
15410cd58a6
hex26dcee983

10432211331 has 16 divisors (see below), whose sum is σ = 14021504640. Its totient is φ = 6898906560.

The previous prime is 10432211311. The next prime is 10432211341. The reversal of 10432211331 is 13311223401.

10432211331 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 10432211331 - 27 = 10432211203 is a prime.

It is a super-2 number, since 2×104322113312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10432211298 and 10432211307.

It is not an unprimeable number, because it can be changed into a prime (10432211311) 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, 1477696 + ... + 1484738.

It is an arithmetic number, because the mean of its divisors is an integer number (876344040).

Almost surely, 210432211331 is an apocalyptic number.

10432211331 is a deficient number, since it is larger than the sum of its proper divisors (3589293309).

10432211331 is a wasteful number, since it uses less digits than its factorization.

10432211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10432211331 its reverse (13311223401), we get a palindrome (23743434732).

The spelling of 10432211331 in words is "ten billion, four hundred thirty-two million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 131 393 3769 7043 11307 21129 493739 922633 1481217 2767899 26545067 79635201 3477403777 10432211331