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133221013212 = 223721273674861
BaseRepresentation
bin111110000010010010…
…1110101011011011100
3110201212101211200002110
41330010211311123130
54140314034410322
6141111220354020
712424224633300
oct1740445653334
9421771750073
10133221013212
1151553875021
122199b545910
13c7412bca01
14663b1a3d00
1536eaa12c0c
hex1f049756dc

133221013212 has 144 divisors (see below), whose sum is σ = 365515358208. Its totient is φ = 37652791680.

The previous prime is 133221013117. The next prime is 133221013273. The reversal of 133221013212 is 212310122331.

It is a super-2 number, since 2×1332210132122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 27403662 + ... + 27408522.

Almost surely, 2133221013212 is an apocalyptic number.

133221013212 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 133221013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182757679104).

133221013212 is an abundant number, since it is smaller than the sum of its proper divisors (232294344996).

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

133221013212 is a wasteful number, since it uses less digits than its factorization.

133221013212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133221013212 its reverse (212310122331), we get a palindrome (345531135543).

The spelling of 133221013212 in words is "one hundred thirty-three billion, two hundred twenty-one million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 294 367 381 508 588 734 762 889 1101 1468 1524 1778 2202 2569 2667 3556 4404 4861 5138 5334 6223 7707 9722 10276 10668 12446 14583 15414 17983 18669 19444 24892 29166 30828 34027 35966 37338 46609 53949 58332 68054 71932 74676 93218 102081 107898 136108 139827 186436 204162 215796 238189 279654 326263 408324 476378 559308 617347 652526 714567 952756 978789 1234694 1305052 1429134 1783987 1852041 1957578 2283841 2469388 2858268 3567974 3704082 3915156 4321429 4567682 5351961 6851523 7135948 7408164 8642858 9135364 10703922 12487909 12964287 13703046 17285716 21407844 24975818 25928574 27406092 30250003 37463727 49951636 51857148 60500006 74927454 87415363 90750009 121000012 149854908 174830726 181500018 226566349 262246089 349661452 363000036 453132698 524492178 679699047 906265396 1048984356 1359398094 1585964443 2718796188 3171928886 4757893329 6343857772 9515786658 11101751101 19031573316 22203502202 33305253303 44407004404 66610506606 133221013212