Search a number
-
+
31013222231013 = 3118099901117329
BaseRepresentation
bin1110000110100110101000…
…00110000010101111100101
311001210211112210002010001220
413003103110012002233211
513031110034342343023
6145543135544010553
76350426362300551
oct703232406025745
9131724483063056
1031013222231013
1199776a74888a0
12358a6a1460a59
13143c6c3b48809
1479309588a861
1538bad223d3e3
hex1c34d4182be5

31013222231013 has 32 divisors (see below), whose sum is σ = 45170848540800. Its totient is φ = 18770602752000.

The previous prime is 31013222230987. The next prime is 31013222231077.

31013222231013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31013222231013 - 25 = 31013222230981 is a prime.

It is a super-2 number, since 2×310132222310132 (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 (31013222231713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264268333 + ... + 264385661.

It is an arithmetic number, because the mean of its divisors is an integer number (1411589016900).

Almost surely, 231013222231013 is an apocalyptic number.

31013222231013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31013222231013 is a deficient number, since it is larger than the sum of its proper divisors (14157626309787).

31013222231013 is a wasteful number, since it uses less digits than its factorization.

31013222231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128053.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 3101322 and 2231013, that added together give a palindrome (5332335).

The spelling of 31013222231013 in words is "thirty-one trillion, thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, thirteen".

Divisors: 1 3 11 33 809 2427 8899 9901 26697 29703 108911 117329 326733 351987 1290619 3871857 8009909 24029727 88108999 94919161 264326997 284757483 1044110771 1161674429 3132332313 3485023287 12778418719 38335256157 939794613061 2819383839183 10337740743671 31013222231013