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2011333002102 = 2321746376918461
BaseRepresentation
bin11101010001001100110…
…010100000001101110110
321010021121020220000012200
4131101030302200031312
5230423202222031402
64135554342325330
7265212464301354
oct35211462401566
97107536800180
102011333002102
11706002054026
12285987429846
1311788b473088
146d4c5a847d4
15374bcde921c
hex1d44cca0376

2011333002102 has 96 divisors (see below), whose sum is σ = 4630464558720. Its totient is φ = 628790722560.

The previous prime is 2011333002097. The next prime is 2011333002113. The reversal of 2011333002102 is 2012003331102.

2011333002102 is a `hidden beast` number, since 20 + 1 + 133 + 300 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108941152 + ... + 108959612.

It is an arithmetic number, because the mean of its divisors is an integer number (48234005820).

Almost surely, 22011333002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011333002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315232279360).

2011333002102 is an abundant number, since it is smaller than the sum of its proper divisors (2619131556618).

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

2011333002102 is a wasteful number, since it uses less digits than its factorization.

2011333002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19718 (or 19715 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2011333002102 its reverse (2012003331102), we get a palindrome (4023336333204).

The spelling of 2011333002102 in words is "two trillion, eleven billion, three hundred thirty-three million, two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 463 769 926 1389 1538 2307 2778 4167 4614 6921 7871 8334 13073 13842 15742 18461 23613 26146 36922 39219 47226 55383 70839 78438 110766 117657 141678 166149 235314 313837 332298 356047 627674 712094 941511 1068141 1883022 2136282 2824533 3204423 5649066 6052799 6408846 8547443 12105598 14196509 17094886 18158397 25642329 28393018 36316794 42589527 51284658 54475191 76926987 85179054 108950382 127768581 145306531 153853974 241340653 255537162 290613062 435919593 482681306 724021959 871839186 1307758779 1448043918 2172065877 2615517558 4344131754 6572983667 13145967334 19718951001 39437902002 59156853003 111740722339 118313706006 223481444678 335222167017 670444334034 1005666501051 2011333002102