Search a number
-
+
1310329020 = 22357111321817
BaseRepresentation
bin100111000011010…
…0000100010111100
310101022121121111110
41032012200202330
510140421012040
6334004522020
744320420140
oct11606404274
93338547443
101310329020
11612712650
123069b0310
1317b613520
14c604d220
157a080980
hex4e1a08bc

1310329020 has 192 divisors, whose sum is σ = 4926329856. Its totient is φ = 251320320.

The previous prime is 1310329019. The next prime is 1310329039. The reversal of 1310329020 is 209230131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49152 + ... + 70968.

It is an arithmetic number, because the mean of its divisors is an integer number (25657968).

Almost surely, 21310329020 is an apocalyptic number.

1310329020 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 1310329020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463164928).

1310329020 is an abundant number, since it is smaller than the sum of its proper divisors (3616000836).

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

1310329020 is a wasteful number, since it uses less digits than its factorization.

1310329020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21860 (or 21858 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1310329020 is about 36198.4670946160. The cubic root of 1310329020 is about 1094.2757789064.

Adding to 1310329020 its reverse (209230131), we get a palindrome (1519559151).

The spelling of 1310329020 in words is "one billion, three hundred ten million, three hundred twenty-nine thousand, twenty".