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13122001230309 = 35113982948619
BaseRepresentation
bin1011111011110011010000…
…1110001101100111100101
31201110110011211100011200000
42332330310032031213211
53204442324303332214
643524055242211513
72523014265061446
oct276746416154745
951413154304600
1013122001230309
1141aa011671864
12157b16b7b3b99
1374252665ab1a
143351730672cd
1517b500194809
hexbef3438d9e5

13122001230309 has 48 divisors (see below), whose sum is σ = 19832374161600. Its totient is φ = 8669524421376.

The previous prime is 13122001230307. The next prime is 13122001230323. The reversal of 13122001230309 is 90303210022131.

13122001230309 is a `hidden beast` number, since 1 + 3 + 122 + 0 + 0 + 1 + 230 + 309 = 666.

It is not a de Polignac number, because 13122001230309 - 21 = 13122001230307 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122001230301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269870202 + ... + 269918820.

It is an arithmetic number, because the mean of its divisors is an integer number (413174461700).

Almost surely, 213122001230309 is an apocalyptic number.

It is an amenable number.

13122001230309 is a deficient number, since it is larger than the sum of its proper divisors (6710372931291).

13122001230309 is an equidigital number, since it uses as much as digits as its factorization.

13122001230309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58576 (or 58564 counting only the distinct ones).

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

The spelling of 13122001230309 in words is "thirteen trillion, one hundred twenty-two billion, one million, two hundred thirty thousand, three hundred nine".

Divisors: 1 3 9 27 81 113 243 339 1017 3051 9153 9829 27459 29487 48619 88461 145857 265383 437571 796149 1110677 1312713 2388447 3332031 3938139 5493947 9996093 11814417 16481841 29988279 49445523 89964837 148336569 269894511 445009707 477876151 1335029121 1433628453 4300885359 12902656077 38707968231 54000005063 116123904693 162000015189 486000045567 1458000136701 4374000410103 13122001230309