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130311020 = 22571078699
BaseRepresentation
bin1111100010001…
…10001101101100
3100002012111010002
413301012031230
5231324423040
620533003432
73141424340
oct761061554
9302174102
10130311020
1167614664
1237783578
1320cc7218
1413441620
15b690a15
hex7c4636c

130311020 has 48 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 44255424.

The previous prime is 130310989. The next prime is 130311043. The reversal of 130311020 is 20113031.

It is a junction number, because it is equal to n+sod(n) for n = 130310992 and 130311010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10631 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (6577200).

Almost surely, 2130311020 is an apocalyptic number.

130311020 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 130311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

130311020 is an abundant number, since it is smaller than the sum of its proper divisors (185394580).

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

130311020 is a wasteful number, since it uses less digits than its factorization.

130311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8820 counting only the distinct ones).

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

The square root of 130311020 is about 11415.3852322206. The cubic root of 130311020 is about 506.9833709778.

Adding to 130311020 its reverse (20113031), we get a palindrome (150424051).

The spelling of 130311020 in words is "one hundred thirty million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 8699 14980 17398 34796 43495 60893 86990 121786 173980 243572 304465 608930 930793 1217860 1861586 3723172 4653965 6515551 9307930 13031102 18615860 26062204 32577755 65155510 130311020