Search a number
-
+
31033110210021 = 3331262114145973
BaseRepresentation
bin1110000111001011101011…
…00000101010010111100101
311001212201212210211010102000
413003211311200222113211
513031421302203210041
6150000225232235513
76352032254314623
oct703456540522745
9131781783733360
1031033110210021
119985082755887
12359251199bb99
13144154326122a
14794020d32513
1538c39822cbb6
hex1c397582a5e5

31033110210021 has 32 divisors (see below), whose sum is σ = 47476152099840. Its totient is φ = 20013721185600.

The previous prime is 31033110210007. The next prime is 31033110210073. The reversal of 31033110210021 is 12001201133013.

31033110210021 is a `hidden beast` number, since 310 + 3 + 311 + 0 + 21 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 31033110210021 - 215 = 31033110177253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31033110209976 and 31033110210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033110260021) 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, 4879210 + ... + 9266763.

It is an arithmetic number, because the mean of its divisors is an integer number (1483629753120).

Almost surely, 231033110210021 is an apocalyptic number.

31033110210021 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31033110210021 is a deficient number, since it is larger than the sum of its proper divisors (16443041889819).

31033110210021 is a wasteful number, since it uses less digits than its factorization.

31033110210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14148634 (or 14148628 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31033110210021 its reverse (12001201133013), we get a palindrome (43034311343034).

The spelling of 31033110210021 in words is "thirty-one trillion, thirty-three billion, one hundred ten million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 27 31 93 279 837 2621 7863 23589 70767 81251 243753 731259 2193777 14145973 42437919 127313757 381941271 438525163 1315575489 3946726467 11840179401 37076595233 111229785699 333689357097 1001068071291 1149374452223 3448123356669 10344370070007 31033110210021