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213112343211312 = 24397101453183677
BaseRepresentation
bin110000011101001100010101…
…100000111010110100110000
31000221120100012121201000212010
4300131030111200322310300
5210413113034330230222
62033130243043002520
762613600350532426
oct6035142540726460
91027510177630763
10213112343211312
11619a4489a08526
121ba9a724669440
1391bb53ba3875c
143a8a99a109116
15199881b3c880c
hexc1d31583ad30

213112343211312 has 80 divisors (see below), whose sum is σ = 561722981615712. Its totient is φ = 69609012633600.

The previous prime is 213112343211307. The next prime is 213112343211329.

213112343211312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2131123432113122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213112343211312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226121583 + ... + 227062094.

Almost surely, 2213112343211312 is an apocalyptic number.

It is an amenable number.

213112343211312 is an abundant number, since it is smaller than the sum of its proper divisors (348610638404400).

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

213112343211312 is a wasteful number, since it uses less digits than its factorization.

213112343211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453183886 (or 453183880 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 213112343211312 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred forty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 101 194 202 291 303 388 404 582 606 776 808 1164 1212 1552 1616 2328 2424 4656 4848 9797 19594 29391 39188 58782 78376 117564 156752 235128 470256 453183677 906367354 1359551031 1812734708 2719102062 3625469416 5438204124 7250938832 10876408248 21752816496 43958816669 45771551377 87917633338 91543102754 131876450007 137314654131 175835266676 183086205508 263752900014 274629308262 351670533352 366172411016 527505800028 549258616524 703341066704 732344822032 1055011600056 1098517233048 2110023200112 2197034466096 4439840483569 8879680967138 13319521450707 17759361934276 26639042901414 35518723868552 53278085802828 71037447737104 106556171605656 213112343211312