Search a number
-
+
10332413222013 = 3231174432123129
BaseRepresentation
bin1001011001011011001111…
…0100011101110001111101
31100120202202122100120012200
42112112303310131301331
52323241240241101023
633550351202022113
72114330555201331
oct226266364356175
940522678316180
1010332413222013
113323a51997803
1211aa5a8347939
1359c45b2b712c
1427a13cdbb7c1
1512db83014743
hex965b3d1dc7d

10332413222013 has 24 divisors (see below), whose sum is σ = 15406925963520. Its totient is φ = 6665687743680.

The previous prime is 10332413221973. The next prime is 10332413222077. The reversal of 10332413222013 is 31022231423301.

10332413222013 is a `hidden beast` number, since 1 + 0 + 3 + 324 + 1 + 322 + 2 + 0 + 13 = 666.

It is not a de Polignac number, because 10332413222013 - 213 = 10332413213821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332413222213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3805033 + ... + 5928161.

It is an arithmetic number, because the mean of its divisors is an integer number (641955248480).

Almost surely, 210332413222013 is an apocalyptic number.

It is an amenable number.

10332413222013 is a deficient number, since it is larger than the sum of its proper divisors (5074512741507).

10332413222013 is a wasteful number, since it uses less digits than its factorization.

10332413222013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140609 (or 2140606 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10332413222013 its reverse (31022231423301), we get a palindrome (41354644645314).

The spelling of 10332413222013 in words is "ten trillion, three hundred thirty-two billion, four hundred thirteen million, two hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 31 93 279 17443 52329 156987 540733 1622199 2123129 4866597 6369387 19108161 65816999 197450997 592352991 37033739147 111101217441 333303652323 1148045913557 3444137740671 10332413222013