Search a number
-
+
31214133141213 = 3112341125340107
BaseRepresentation
bin1110001100011100110110…
…10100010101111011011101
311002112001010121101211110010
413012032123110111323131
513042403021041004323
6150215324054033433
76401101213663461
oct706163324257335
9132461117354403
1031214133141213
119a44926453340
123601612048879
131455631ab12b9
1479cab49284a1
15391e40646c93
hex1c639b515edd

31214133141213 has 16 divisors (see below), whose sum is σ = 47376391804416. Its totient is φ = 18095149646640.

The previous prime is 31214133141151. The next prime is 31214133141239.

It is a happy number.

31214133141213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31214133141213 - 214 = 31214133124829 is a prime.

It is a super-2 number, since 2×312141331412132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214133141263) 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, 20562669295 + ... + 20562670812.

It is an arithmetic number, because the mean of its divisors is an integer number (2961024487776).

Almost surely, 231214133141213 is an apocalyptic number.

31214133141213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31214133141213 is a deficient number, since it is larger than the sum of its proper divisors (16162258663203).

31214133141213 is a wasteful number, since it uses less digits than its factorization.

31214133141213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41125340144.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 3121413 and 3141213, that added together give a palindrome (6262626).

The spelling of 31214133141213 in words is "thirty-one trillion, two hundred fourteen billion, one hundred thirty-three million, one hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 11 23 33 69 253 759 41125340107 123376020321 452378741177 945882822461 1357136223531 2837648467383 10404711047071 31214133141213