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13200004223412 = 22329314073300413
BaseRepresentation
bin1100000000010101110110…
…0100000001000110110100
31201201220111222201210012120
43000011131210001012310
53212232102040122122
644023555341115540
72531445260425506
oct300053544010664
951656458653176
1013200004223412
11422a0aa296016
1215922ba858bb0
137499a7b25a46
14338c528c5d76
1517d56819275c
hexc015d9011b4

13200004223412 has 96 divisors (see below), whose sum is σ = 32898072775680. Its totient is φ = 4110212951040.

The previous prime is 13200004223389. The next prime is 13200004223519. The reversal of 13200004223412 is 21432240000231.

It is a happy number.

It is a super-2 number, since 2×132000042234122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43789318 + ... + 44089730.

It is an arithmetic number, because the mean of its divisors is an integer number (342688258080).

Almost surely, 213200004223412 is an apocalyptic number.

13200004223412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200004223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16449036387840).

13200004223412 is an abundant number, since it is smaller than the sum of its proper divisors (19698068552268).

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

13200004223412 is a wasteful number, since it uses less digits than its factorization.

13200004223412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304553 (or 304551 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13200004223412 its reverse (21432240000231), we get a palindrome (34632244223643).

The spelling of 13200004223412 in words is "thirteen trillion, two hundred billion, four million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 4073 5394 8146 10788 12219 16292 24438 48876 118117 126263 236234 252526 300413 354351 378789 472468 505052 600826 708702 757578 901239 1201652 1417404 1515156 1802478 3604956 3661627 7323254 8711977 9312803 10984881 14646508 17423954 18625606 21969762 26135931 27938409 34847908 37251212 43939524 52271862 55876818 104543724 111753636 270071287 540142574 810213861 1080285148 1223582149 1620427722 2447164298 3240855444 3670746447 4894328596 7341492894 14682985788 35483882321 37931046619 70967764642 75862093238 106451646963 113793139857 141935529284 151724186476 212903293926 227586279714 425806587852 455172559428 1100000351951 2200000703902 3300001055853 4400001407804 6600002111706 13200004223412