Search a number
-
+
31113022002023 = 1331143960378887
BaseRepresentation
bin1110001001100000100001…
…00111111101001101100111
311002011101010222221202210002
413010300100213331031213
513034223432113031043
6150101042555251515
76360561455326223
oct704602047751547
9132141128852702
1031113022002023
119a05a5a894995
1235a5ab4149b9b
131448c3a020960
14797c420a9783
1538e4c3ac5bb8
hex1c4c109fd367

31113022002023 has 32 divisors (see below), whose sum is σ = 34620844769280. Its totient is φ = 27766230641280.

The previous prime is 31113022001983. The next prime is 31113022002071. The reversal of 31113022002023 is 32020022031113.

It is a cyclic number.

It is not a de Polignac number, because 31113022002023 - 26 = 31113022001959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31113022001986 and 31113022002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113022302023) 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, 3500954486 + ... + 3500963372.

It is an arithmetic number, because the mean of its divisors is an integer number (1081901399040).

Almost surely, 231113022002023 is an apocalyptic number.

31113022002023 is a deficient number, since it is larger than the sum of its proper divisors (3507822767257).

31113022002023 is a wasteful number, since it uses less digits than its factorization.

31113022002023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16407.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31113022002023 its reverse (32020022031113), we get a palindrome (63133044033136).

The spelling of 31113022002023 in words is "thirty-one trillion, one hundred thirteen billion, twenty-two million, two thousand, twenty-three".

Divisors: 1 13 31 403 1439 6037 8887 18707 44609 78481 115531 187147 275497 579917 2432911 3581461 8687243 12788393 53650819 112934159 166249109 269304533 396440183 697460647 1663175389 3500958929 5153722379 21621280057 77203528541 1003645871033 2393309384771 31113022002023