Search a number
-
+
10311421231320 = 23351112782974197
BaseRepresentation
bin1001011000001101000010…
…0110011000000011011000
31100111202120200012221112220
42112003100212120003120
52322420242313400240
633533000154504040
72112655426212306
oct226032046300330
940452520187486
1010311421231320
11331605a515470
1211a650a135020
1359a494247a71
1427910b071276
1512d35514a5d0
hex960d09980d8

10311421231320 has 256 divisors, whose sum is σ = 34053676646400. Its totient is φ = 2477030492160.

The previous prime is 10311421231301. The next prime is 10311421231373. The reversal of 10311421231320 is 2313212411301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138936462 + ... + 139010658.

It is an arithmetic number, because the mean of its divisors is an integer number (133022174400).

Almost surely, 210311421231320 is an apocalyptic number.

10311421231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311421231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026838323200).

10311421231320 is an abundant number, since it is smaller than the sum of its proper divisors (23742255415080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10311421231320 is a wasteful number, since it uses less digits than its factorization.

10311421231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75178 (or 75174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10311421231320 its reverse (2313212411301), we get a palindrome (12624633642621).

The spelling of 10311421231320 in words is "ten trillion, three hundred eleven billion, four hundred twenty-one million, two hundred thirty-one thousand, three hundred twenty".