Search a number
-
+
31331544513313 = 11101149189269867
BaseRepresentation
bin1110001111110111100011…
…00101001011101100100001
311002221021012012121112001011
413013323301211023230201
513101314000343411223
6150345302435140521
76412425611120662
oct707736145135441
9132837165545034
1031331544513313
119a8a6a707aa60
12362031aa44741
1314637238a7985
147a465214d369
1539501321680d
hex1c7ef194bb21

31331544513313 has 16 divisors (see below), whose sum is σ = 34749947764800. Its totient is φ = 28011940168000.

The previous prime is 31331544513289. The next prime is 31331544513319.

31331544513313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31331544513313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31331544513319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94469395 + ... + 94800472.

It is an arithmetic number, because the mean of its divisors is an integer number (2171871735300).

Almost surely, 231331544513313 is an apocalyptic number.

It is an amenable number.

31331544513313 is a deficient number, since it is larger than the sum of its proper divisors (3418403251487).

31331544513313 is a wasteful number, since it uses less digits than its factorization.

31331544513313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189270128.

The product of its digits is 291600, while the sum is 40.

It can be divided in two parts, 3133154 and 4513313, that added together give a palindrome (7646467).

The spelling of 31331544513313 in words is "thirty-one trillion, three hundred thirty-one billion, five hundred forty-four million, five hundred thirteen thousand, three hundred thirteen".

Divisors: 1 11 101 149 1111 1639 15049 165539 189269867 2081968537 19116256567 28201210183 210278822237 310213312013 2848322228483 31331544513313