Search a number
-
+
311321313000031 = 3126338184878327
BaseRepresentation
bin100011011001001010010010…
…0010001011011101001011111
31111211022000201120200212121011
41012302110210101123221133
5311301142022112000111
63022043011540320051
7122401136233256305
oct10662244421335137
91454260646625534
10311321313000031
119021869a071044
122ab001a59a3027
131049362106c599
1456c406393c275
1525ed2ad850021
hex11b252445ba5f

311321313000031 has 8 divisors (see below), whose sum is σ = 322585852114944. Its totient is φ = 300133143642360.

The previous prime is 311321313000029. The next prime is 311321313000037. The reversal of 311321313000031 is 130000313123113.

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

It is a cyclic number.

It is not a de Polignac number, because 311321313000031 - 21 = 311321313000029 is a prime.

It is a super-2 number, since 2×3113213130000312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311321312999966 and 311321313000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311321313000037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19092431011 + ... + 19092447316.

It is an arithmetic number, because the mean of its divisors is an integer number (40323231514368).

Almost surely, 2311321313000031 is an apocalyptic number.

311321313000031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

311321313000031 is a deficient number, since it is larger than the sum of its proper divisors (11264539114913).

311321313000031 is a wasteful number, since it uses less digits than its factorization.

311321313000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38184878621.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 311321313000031 its reverse (130000313123113), we get a palindrome (441321626123144).

The spelling of 311321313000031 in words is "three hundred eleven trillion, three hundred twenty-one billion, three hundred thirteen million, thirty-one", and thus it is an aban number.

Divisors: 1 31 263 8153 38184878327 1183731228137 10042623000001 311321313000031