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1305235320012 = 22321317164056727
BaseRepresentation
bin10010111111100110000…
…101100110110011001100
311121210001002112021011100
4102333212011212303030
5132341110220220022
62435341122423100
7163204643110131
oct22774605466314
94553032467140
101305235320012
11463602346648
12190b68801a90
1396110928930
14472609c4588
1523e438611ac
hex12fe6166ccc

1305235320012 has 72 divisors (see below), whose sum is σ = 3762148886496. Its totient is φ = 377986696704.

The previous prime is 1305235319917. The next prime is 1305235320013. The reversal of 1305235320012 is 2100235325031.

It is a happy number.

1305235320012 is a `hidden beast` number, since 1 + 305 + 2 + 35 + 320 + 0 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1305235320013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82020408 + ... + 82036319.

It is an arithmetic number, because the mean of its divisors is an integer number (52252067868).

Almost surely, 21305235320012 is an apocalyptic number.

1305235320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305235320012 is an abundant number, since it is smaller than the sum of its proper divisors (2456913566484).

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

1305235320012 is a wasteful number, since it uses less digits than its factorization.

1305235320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164056767 (or 164056762 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 1305235320012 in words is "one trillion, three hundred five billion, two hundred thirty-five million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 164056727 328113454 492170181 656226908 984340362 1476510543 1968680724 2132737451 2788964359 2953021086 4265474902 5577928718 5906042172 6398212353 8366893077 8530949804 11155857436 12796424706 16733786154 19194637059 25100679231 25592849412 33467572308 36256536667 38389274118 50201358462 72513073334 76778548236 100402716924 108769610001 145026146668 217539220002 326308830003 435078440004 652617660006 1305235320012