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13300300002312 = 23322341195892247
BaseRepresentation
bin1100000110001011011110…
…1010000011010000001000
31202002111101202221020211100
43001202313222003100020
53220403003300033222
644142023511501400
72541625555453251
oct301426752032010
952074352836740
1013300300002312
114268697682194
1215a982b687860
1375629c9b5b8b
1433da48d3bb28
15180e883554ac
hexc18b7a83408

13300300002312 has 96 divisors (see below), whose sum is σ = 38504580266880. Its totient is φ = 4137244235520.

The previous prime is 13300300002277. The next prime is 13300300002313. The reversal of 13300300002312 is 21320000300331.

13300300002312 is a `hidden beast` number, since 1 + 330 + 0 + 300 + 0 + 0 + 2 + 31 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13300300002313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97878228 + ... + 98014019.

It is an arithmetic number, because the mean of its divisors is an integer number (401089377780).

Almost surely, 213300300002312 is an apocalyptic number.

13300300002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300300002312 is an abundant number, since it is smaller than the sum of its proper divisors (25204280264568).

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

13300300002312 is a wasteful number, since it uses less digits than its factorization.

13300300002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195892323 (or 195892316 counting only the distinct ones).

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

Adding to 13300300002312 its reverse (21320000300331), we get a palindrome (34620300302643).

The spelling of 13300300002312 in words is "thirteen trillion, three hundred billion, three hundred million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 41 46 69 72 82 92 123 138 164 184 207 246 276 328 369 414 492 552 738 828 943 984 1476 1656 1886 2829 2952 3772 5658 7544 8487 11316 16974 22632 33948 67896 195892247 391784494 587676741 783568988 1175353482 1567137976 1763030223 2350706964 3526060446 4505521681 4701413928 7052120892 8031582127 9011043362 13516565043 14104241784 16063164254 18022086724 24094746381 27033130086 32126328508 36044173448 40549695129 48189492762 54066260172 64252657016 72284239143 81099390258 96378985524 108132520344 144568478286 162198780516 184726388921 192757971048 289136956572 324397561032 369452777842 554179166763 578273913144 738905555684 1108358333526 1477811111368 1662537500289 2216716667052 3325075000578 4433433334104 6650150001156 13300300002312