Search a number
-
+
13325322335031 = 337199354293221
BaseRepresentation
bin1100000111101000101100…
…0110101011001100110111
31202011212222121212110101000
43001322023012223030313
53221310230004210111
644201322451134343
72543502624000510
oct301721306531467
952155877773330
1013325322335031
114278268082103
1215b26535a43b3
13758759a3b505
14340d40259a07
1518194ee89c56
hexc1e8b1ab337

13325322335031 has 32 divisors (see below), whose sum is σ = 22674766208000. Its totient is φ = 7576206216480.

The previous prime is 13325322335029. The next prime is 13325322335033. The reversal of 13325322335031 is 13053322352331.

13325322335031 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 53 + 223 + 350 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (13325322335029) and next prime (13325322335033).

It is not a de Polignac number, because 13325322335031 - 21 = 13325322335029 is a prime.

It is a super-2 number, since 2×133253223350312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325322335033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177109000 + ... + 177184221.

It is an arithmetic number, because the mean of its divisors is an integer number (708586444000).

Almost surely, 213325322335031 is an apocalyptic number.

13325322335031 is a deficient number, since it is larger than the sum of its proper divisors (9349443872969).

13325322335031 is a wasteful number, since it uses less digits than its factorization.

13325322335031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354293436 (or 354293430 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 13325322335031 its reverse (13053322352331), we get a palindrome (26378644687362).

The spelling of 13325322335031 in words is "thirteen trillion, three hundred twenty-five billion, three hundred twenty-two million, three hundred thirty-five thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 199 597 1393 1791 4179 5373 12537 37611 354293221 1062879663 2480052547 3188638989 7440157641 9565916967 22320472923 66961418769 70504350979 211513052937 493530456853 634539158811 1480591370559 1903617476433 4441774111677 13325322335031