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1306056030201 = 34134612690497
BaseRepresentation
bin10011000000010111000…
…000010111011111111001
311121212011021211122220000
4103000113000113133321
5132344300320431301
62435554401223213
7163234200041166
oct23002700273771
94555137748800
101306056030201
1146399364232a
12191157631b09
1396211980270
14472db9c106d
1523e90929786
hex130170177f9

1306056030201 has 40 divisors (see below), whose sum is σ = 2105659068744. Its totient is φ = 801983047680.

The previous prime is 1306056030179. The next prime is 1306056030203. The reversal of 1306056030201 is 1020306506031.

1306056030201 is a `hidden beast` number, since 1 + 3 + 0 + 605 + 6 + 0 + 30 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40208270400 + 1265847759801 = 200520^2 + 1125099^2 .

It is not a de Polignac number, because 1306056030201 - 211 = 1306056028153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1306056030203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 859816 + ... + 1830681.

Almost surely, 21306056030201 is an apocalyptic number.

It is an amenable number.

1306056030201 is a deficient number, since it is larger than the sum of its proper divisors (799603038543).

1306056030201 is a wasteful number, since it uses less digits than its factorization.

1306056030201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690983 (or 2690974 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 1306056030201 in words is "one trillion, three hundred six billion, fifty-six million, thirty thousand, two hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 461 1053 1383 4149 5993 12447 17979 37341 53937 161811 485433 2690497 8071491 24214473 34976461 72643419 104929383 217930257 314788149 944364447 1240319117 2833093341 3720957351 11162872053 16124148521 33488616159 48372445563 100465848477 145117336689 435352010067 1306056030201