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13332333132200 = 2352197321479239
BaseRepresentation
bin1100001000000010110011…
…1110101111100110101000
31202012120002012220212002102
43002000230332233212220
53221414104240212300
644204442252552532
72544141433536425
oct302005476574650
952176065825072
1013332333132200
114280235530855
1215b3a8b482748
13759306354ac4
143414073c6d4c
15181c106d80d5
hexc202cfaf9a8

13332333132200 has 96 divisors (see below), whose sum is σ = 32633656104000. Its totient is φ = 5051551910400.

The previous prime is 13332333132197. The next prime is 13332333132247. The reversal of 13332333132200 is 223133323331.

It is a super-2 number, since 2×133323331322002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27580181 + ... + 28059419.

It is an arithmetic number, because the mean of its divisors is an integer number (339933917750).

Almost surely, 213332333132200 is an apocalyptic number.

13332333132200 is a gapful number since it is divisible by the number (10) 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 13332333132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316828052000).

13332333132200 is an abundant number, since it is smaller than the sum of its proper divisors (19301322971800).

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

13332333132200 is a wasteful number, since it uses less digits than its factorization.

13332333132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486595 (or 486586 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 13332333132200 its reverse (223133323331), we get a palindrome (13555466455531).

The spelling of 13332333132200 in words is "thirteen trillion, three hundred thirty-two billion, three hundred thirty-three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 7321 14642 29284 36605 58568 73210 139099 146420 183025 278198 292840 366050 479239 556396 695495 732100 958478 1112792 1390990 1464200 1916956 2396195 2781980 3477475 3833912 4792390 5563960 6954950 9105541 9584780 11980975 13909900 18211082 19169560 23961950 27819800 36422164 45527705 47923900 72844328 91055410 95847800 182110820 227638525 364221640 455277050 910554100 1821108200 3508508719 7017017438 14034034876 17542543595 28068069752 35085087190 66661665661 70170174380 87712717975 133323331322 140340348760 175425435950 266646662644 333308328305 350850871900 533293325288 666616656610 701701743800 1333233313220 1666541641525 2666466626440 3333083283050 6666166566100 13332333132200