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12011133003213 = 3416712719995741
BaseRepresentation
bin1010111011001000111101…
…0100001110010111001101
31120112020211111210021010210
42232302033110032113031
53033242300022100323
641313501024553033
72346530033664561
oct256621724162715
946466744707123
1012011133003213
1139109904a5a03
12141ba08182779
13691850044956
142d74b03d16a1
1515c6854d3293
hexaec8f50e5cd

12011133003213 has 64 divisors (see below), whose sum is σ = 16792731648000. Its totient is φ = 7629776985600.

The previous prime is 12011133003197. The next prime is 12011133003223. The reversal of 12011133003213 is 31230033111021.

It is a happy number.

It is not a de Polignac number, because 12011133003213 - 24 = 12011133003197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12011133003213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011133003223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2092164523 + ... + 2092170263.

It is an arithmetic number, because the mean of its divisors is an integer number (262386432000).

Almost surely, 212011133003213 is an apocalyptic number.

It is an amenable number.

12011133003213 is a deficient number, since it is larger than the sum of its proper divisors (4781598644787).

12011133003213 is a wasteful number, since it uses less digits than its factorization.

12011133003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011133003213 its reverse (31230033111021), we get a palindrome (43241166114234).

The spelling of 12011133003213 in words is "twelve trillion, eleven billion, one hundred thirty-three million, three thousand, two hundred thirteen".

Divisors: 1 3 41 67 123 127 201 381 1999 2747 5207 5741 5997 8241 8509 15621 17223 25527 81959 133933 235381 245877 253873 348869 384647 401799 706143 729107 761619 1046607 1153941 2187321 5491253 10408793 11476259 15770527 16473759 17009491 29893387 31226379 34428777 47311581 48850169 51028473 89680161 146550507 470526619 697389131 768909353 1411579857 1457484893 2002856929 2092167393 2306728059 4372454679 6008570787 31525283473 59756880613 94575850419 97651487831 179270641839 292954463493 4003711001071 12011133003213