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13320012312 = 2332172640139
BaseRepresentation
bin11000110011110111…
…10100001000011000
31021101021221201211100
430121323310020120
5204234410343222
610041422031400
7651040144065
oct143173641030
937337851740
1013320012312
115715888442
1226b8a18560
1313437886b9
1490506bc6c
1552e5b54ac
hex319ef4218

13320012312 has 72 divisors (see below), whose sum is σ = 38321981100. Its totient is φ = 4178820864.

The previous prime is 13320012271. The next prime is 13320012317. The reversal of 13320012312 is 21321002331.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320012317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 299262 + ... + 340877.

Almost surely, 213320012312 is an apocalyptic number.

13320012312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13320012312 is an abundant number, since it is smaller than the sum of its proper divisors (25001968788).

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

13320012312 is a wasteful number, since it uses less digits than its factorization.

13320012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640185 (or 640161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13320012312 its reverse (21321002331), we get a palindrome (34641014643).

The spelling of 13320012312 in words is "thirteen billion, three hundred twenty million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 640139 1280278 1920417 2560556 3840834 5121112 5761251 7681668 10882363 11522502 15363336 21764726 23045004 32647089 43529452 46090008 65294178 87058904 97941267 130588356 185000171 195882534 261176712 370000342 391765068 555000513 740000684 783530136 1110001026 1480001368 1665001539 2220002052 3330003078 4440004104 6660006156 13320012312