Search a number
-
+
10301310020 = 225539718217
BaseRepresentation
bin10011001100000000…
…11000010001000100
3222120220201202202202
421212000120101010
5132044113410040
64422104454032
7513163455551
oct114600302104
928526652682
1010301310020
114406903761
121bb5a7a318
13c82256621
146da197a28
1540457a015
hex266018444

10301310020 has 24 divisors (see below), whose sum is σ = 22040918424. Its totient is φ = 4042777856.

The previous prime is 10301310011. The next prime is 10301310029. The reversal of 10301310020 is 2001310301.

It is an interprime number because it is at equal distance from previous prime (10301310011) and next prime (10301310029).

It can be written as a sum of positive squares in 4 ways, for example, as 153165376 + 10148144644 = 12376^2 + 100738^2 .

It is a super-2 number, since 2×103013100202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301309983 and 10301310010.

It is not an unprimeable number, because it can be changed into a prime (10301310029) 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, 4858049 + ... + 4860168.

It is an arithmetic number, because the mean of its divisors is an integer number (918371601).

Almost surely, 210301310020 is an apocalyptic number.

10301310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301310020 is an abundant number, since it is smaller than the sum of its proper divisors (11739608404).

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

10301310020 is a wasteful number, since it uses less digits than its factorization.

10301310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718279 (or 9718277 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10301310020 its reverse (2001310301), we get a palindrome (12302620321).

The spelling of 10301310020 in words is "ten billion, three hundred one million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 9718217 19436434 38872868 48591085 97182170 194364340 515065501 1030131002 2060262004 2575327505 5150655010 10301310020