Search a number
-
+
10313213211331 = 671237124436989
BaseRepresentation
bin1001011000010011101101…
…1010001111001011000011
31100111221012120010221222221
42112010323122033023003
52322432430040230311
633533454051111511
72113051015614652
oct226047332171303
940457176127887
1010313213211331
113316899aa1588
1211a692a2a2597
1359a6bb58a574
1427923b05b199
1512d40c61c671
hex9613b68f2c3

10313213211331 has 8 divisors (see below), whose sum is σ = 10475603566160. Its totient is φ = 10151071733088.

The previous prime is 10313213211211. The next prime is 10313213211341. The reversal of 10313213211331 is 13311231231301.

10313213211331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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-10313213211331 is a prime.

It is a super-2 number, since 2×103132132113312 (a number of 27 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 = 10313213211296 and 10313213211305.

It is not an unprimeable number, because it can be changed into a prime (10313213211341) 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, 62135616 + ... + 62301373.

It is an arithmetic number, because the mean of its divisors is an integer number (1309450445770).

Almost surely, 210313213211331 is an apocalyptic number.

10313213211331 is a deficient number, since it is larger than the sum of its proper divisors (162390354829).

10313213211331 is a wasteful number, since it uses less digits than its factorization.

10313213211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124438293.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10313213211331 its reverse (13311231231301), we get a palindrome (23624444442632).

The spelling of 10313213211331 in words is "ten trillion, three hundred thirteen billion, two hundred thirteen million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 67 1237 82879 124436989 8337278263 153928555393 10313213211331