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13212143322 = 23722316311987
BaseRepresentation
bin11000100111000000…
…10100111011011010
31021002202222102101120
430103200110323122
5204024302041242
610023010030110
7645260236200
oct142340247332
937082872346
1013212143322
11566aa01914
122688878336
13132731b2b1
148d49cd070
15524da91ec
hex313814eda

13212143322 has 96 divisors (see below), whose sum is σ = 32274381312. Its totient is φ = 3588320736.

The previous prime is 13212143291. The next prime is 13212143339. The reversal of 13212143322 is 22334121231.

It is a super-2 number, since 2×132121433222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13212143292 and 13212143301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096213 + ... + 1108199.

It is an arithmetic number, because the mean of its divisors is an integer number (336191472).

Almost surely, 213212143322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212143322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137190656).

13212143322 is an abundant number, since it is smaller than the sum of its proper divisors (19062237990).

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

13212143322 is a wasteful number, since it uses less digits than its factorization.

13212143322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12185 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 13212143322 its reverse (22334121231), we get a palindrome (35546264553).

The spelling of 13212143322 in words is "thirteen billion, two hundred twelve million, one hundred forty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 163 294 322 326 483 489 966 978 1127 1141 2254 2282 3381 3423 3749 6762 6846 7498 7987 11247 11987 15974 22494 23961 23974 26243 35961 47922 52486 71922 78729 83909 157458 167818 183701 251727 275701 367402 503454 551103 551402 587363 827103 1102206 1174726 1654206 1762089 1929907 1953881 3524178 3859814 3907762 5789721 5861643 11579442 11723286 13509349 13677167 27018698 27354334 40528047 41031501 44939263 81056094 82063002 89878526 95740169 134817789 191480338 269635578 287220507 314574841 574441014 629149682 943724523 1887449046 2202023887 4404047774 6606071661 13212143322