Search a number
-
+
31213011031213 = 1121002972571949
BaseRepresentation
bin1110001100011010110000…
…11011110101010010101101
311002111221020101221201220111
413012031120123311102231
513042343221310444323
6150215020451220021
76401031340132654
oct706153033652255
9132457211851814
1031213011031213
119a44400007500
12360135a2a7611
1314554b348b99b
1479ca098b219b
15391dc6d94c0d
hex1c63586f54ad

31213011031213 has 12 divisors (see below), whose sum is σ = 34308871666300. Its totient is φ = 28375170626880.

The previous prime is 31213011031211. The next prime is 31213011031219.

31213011031213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 18999852289924 + 12213158741289 = 4358882^2 + 3494733^2 .

It is not a de Polignac number, because 31213011031213 - 21 = 31213011031211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213011031211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10849963 + ... + 13421911.

Almost surely, 231213011031213 is an apocalyptic number.

It is an amenable number.

31213011031213 is a deficient number, since it is larger than the sum of its proper divisors (3095860635087).

31213011031213 is a wasteful number, since it uses less digits than its factorization.

31213011031213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672268 (or 2672257 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Multiplying 31213011031213 by its sum of digits (22), we get a palindrome (686686242686686).

It can be divided in two parts, 3121301 and 1031213, that added together give a palindrome (4152514).

The spelling of 31213011031213 in words is "thirty-one trillion, two hundred thirteen billion, eleven million, thirty-one thousand, two hundred thirteen".

Divisors: 1 11 121 100297 1103267 2571949 12135937 28291439 311205829 257958768853 2837546457383 31213011031213