Search a number
-
+
31301123122201 = 891133112371793
BaseRepresentation
bin1110001110111110111000…
…10100110010010000011001
311002211100200002101201201211
413013133130110302100121
513100314200004402301
6150323312031143121
76410301003425422
oct707373424622031
9132740602351654
1031301123122201
119a78805a90609
12361644a974aa1
1314608b612192a
147a2da7b72649
15394332601051
hex1c77dc532419

31301123122201 has 8 divisors (see below), whose sum is σ = 31932934606440. Its totient is φ = 30675536381952.

The previous prime is 31301123122189. The next prime is 31301123122253. The reversal of 31301123122201 is 10222132110313.

It can be written as a sum of positive squares in 4 ways, for example, as 19697841801 + 31281425280400 = 140349^2 + 5592980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31301123122201 is a prime.

It is a super-2 number, since 2×313011231222012 (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 (31301123122301) 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 7 ways as a sum of consecutive naturals, for example, 1556175840 + ... + 1556195953.

It is an arithmetic number, because the mean of its divisors is an integer number (3991616825805).

Almost surely, 231301123122201 is an apocalyptic number.

It is an amenable number.

31301123122201 is a deficient number, since it is larger than the sum of its proper divisors (631811484239).

31301123122201 is a wasteful number, since it uses less digits than its factorization.

31301123122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112371995.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 31301123122201 its reverse (10222132110313), we get a palindrome (41523255232514).

The spelling of 31301123122201 in words is "thirty-one trillion, three hundred one billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 89 113 10057 3112371793 277001089577 351698012609 31301123122201