Search a number
-
+
31101222100331 = 415343932602673
BaseRepresentation
bin1110001001001010100010…
…10010111001110101101011
311002010020200122100122201002
413010211101102321311223
513034030300324202311
6150051412034345215
76356663163656405
oct704452122716553
9132106618318632
1031101222100331
119a00a55083119
1235a376042b20b
131447aa94790c6
14797442c97b75
1538e032bcd93b
hex1c49514b9d6b

31101222100331 has 16 divisors (see below), whose sum is σ = 32534860438080. Its totient is φ = 29702338298880.

The previous prime is 31101222100283. The next prime is 31101222100363. The reversal of 31101222100331 is 13300122210113.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 31101222100331 - 234 = 31084042231147 is a prime.

It is a super-2 number, since 2×311012221003312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31101222100381) 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 15 ways as a sum of consecutive naturals, for example, 15347390 + ... + 17255283.

It is an arithmetic number, because the mean of its divisors is an integer number (2033428777380).

Almost surely, 231101222100331 is an apocalyptic number.

31101222100331 is a deficient number, since it is larger than the sum of its proper divisors (1433638337749).

31101222100331 is a wasteful number, since it uses less digits than its factorization.

31101222100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32603206.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31101222100331 its reverse (13300122210113), we get a palindrome (44401344310444).

The spelling of 31101222100331 in words is "thirty-one trillion, one hundred one billion, two hundred twenty-two million, one hundred thousand, three hundred thirty-one".

Divisors: 1 41 53 439 2173 17999 23267 953947 32602673 1336709593 1727941669 14312573447 70845608429 586815511327 758566392691 31101222100331