Search a number
-
+
1313102023020 = 2233534949913963
BaseRepresentation
bin10011000110111010111…
…110101100100101101100
311122112100100010011222000
4103012322332230211230
5133003213104214040
62443121501252300
7163603615015254
oct23067276544554
94575310104860
101313102023020
1146697994aa97
121925a3264090
1396a9566a698
14477a96b0964
15242542cb130
hex131bafac96c

1313102023020 has 192 divisors, whose sum is σ = 4105416000000. Its totient is φ = 348432544512.

The previous prime is 1313102022989. The next prime is 1313102023027. The reversal of 1313102023020 is 203202013131.

1313102023020 is a `hidden beast` number, since 1 + 31 + 310 + 20 + 2 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313102022984 and 1313102023002.

It is not an unprimeable number, because it can be changed into a prime (1313102023027) 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 63 ways as a sum of consecutive naturals, for example, 94034559 + ... + 94048521.

It is an arithmetic number, because the mean of its divisors is an integer number (21382375000).

Almost surely, 21313102023020 is an apocalyptic number.

1313102023020 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 1313102023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052708000000).

1313102023020 is an abundant number, since it is smaller than the sum of its proper divisors (2792313976980).

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

1313102023020 is a wasteful number, since it uses less digits than its factorization.

1313102023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313102023020 its reverse (203202013131), we get a palindrome (1516304036151).

The spelling of 1313102023020 in words is "one trillion, three hundred thirteen billion, one hundred two million, twenty-three thousand, twenty".