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13300230013020 = 22325600712300677
BaseRepresentation
bin1100000110001011001101…
…1111000100000001011100
31202002111012220020102120100
43001202303133010001130
53220402332340404040
644142012531421100
72541624045532656
oct301426337040134
952074186212510
1013300230013020
1142686611191a5
1215a9810154790
1375628b34c1b2
1433da3d91d6d6
15180e8212cb30
hexc18b37c405c

13300230013020 has 72 divisors (see below), whose sum is σ = 40350750489504. Its totient is φ = 3546137282688.

The previous prime is 13300230012997. The next prime is 13300230013043. The reversal of 13300230013020 is 2031003200331.

13300230013020 is a `hidden beast` number, since 1 + 3 + 300 + 230 + 0 + 130 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13300230012997) and next prime (13300230013043).

It is a super-2 number, since 2×133002300130202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13300230012984 and 13300230013002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5069079 + ... + 7231598.

It is an arithmetic number, because the mean of its divisors is an integer number (560427090132).

Almost surely, 213300230013020 is an apocalyptic number.

13300230013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300230013020 is an abundant number, since it is smaller than the sum of its proper divisors (27050520476484).

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

13300230013020 is a wasteful number, since it uses less digits than its factorization.

13300230013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306699 (or 12306694 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300230013020 its reverse (2031003200331), we get a palindrome (15331233213351).

The spelling of 13300230013020 in words is "thirteen trillion, three hundred billion, two hundred thirty million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6007 12014 18021 24028 30035 36042 54063 60070 72084 90105 108126 120140 180210 216252 270315 360420 540630 1081260 12300677 24601354 36902031 49202708 61503385 73804062 110706093 123006770 147608124 184510155 221412186 246013540 369020310 442824372 553530465 738040620 1107060930 2214121860 73890166739 147780333478 221670500217 295560666956 369450833695 443341000434 665011500651 738901667390 886682000868 1108352501085 1330023001302 1477803334780 2216705002170 2660046002604 3325057503255 4433410004340 6650115006510 13300230013020