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1306166130 = 2325131911003
BaseRepresentation
bin100110111011010…
…1000001101110010
310101000210010002100
41031312220031302
510133334304010
6333335401230
744240141343
oct11566501562
93330703070
101306166130
11610329a45
12305523216
1317a7b6789
14c56880ca
1579a0c2c0
hex4dda8372

1306166130 has 48 divisors (see below), whose sum is σ = 3398915520. Its totient is φ = 348015264.

The previous prime is 1306166129. The next prime is 1306166149. The reversal of 1306166130 is 316616031.

It is a happy number.

1306166130 is a `hidden beast` number, since 1 + 30 + 6 + 16 + 613 + 0 = 666.

1306166130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1306166094 and 1306166103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113209 + ... + 124211.

It is an arithmetic number, because the mean of its divisors is an integer number (70810740).

Almost surely, 21306166130 is an apocalyptic number.

1306166130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1306166130 is an abundant number, since it is smaller than the sum of its proper divisors (2092749390).

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

1306166130 is a wasteful number, since it uses less digits than its factorization.

1306166130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1306166130 is about 36140.9204365356. The cubic root of 1306166130 is about 1093.1157185333.

The spelling of 1306166130 in words is "one billion, three hundred six million, one hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1319 2638 3957 6595 7914 11003 11871 13190 19785 22006 23742 33009 39570 55015 59355 66018 99027 110030 118710 165045 198054 330090 495135 990270 14512957 29025914 43538871 72564785 87077742 130616613 145129570 217694355 261233226 435388710 653083065 1306166130