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212003002110033 = 32234146523536933
BaseRepresentation
bin110000001101000011001011…
…101000011101000001010001
31000210122021210201201011010100
4300031003023220131001101
5210241424122020010113
62030520500141123013
762440466012001441
oct6015031350350121
91023567721634110
10212003002110033
1161606a71869922
121b93b728559469
13913aa49921524
143a4d0001d8121
151979a4081dd73
hexc0d0cba1d051

212003002110033 has 48 divisors (see below), whose sum is σ = 327342079419264. Its totient is φ = 131889914661120.

The previous prime is 212003002110023. The next prime is 212003002110059. The reversal of 212003002110033 is 330011200300212.

212003002110033 is a `hidden beast` number, since 2 + 120 + 0 + 300 + 211 + 0 + 0 + 33 = 666.

It is not a de Polignac number, because 212003002110033 - 25 = 212003002110001 is a prime.

It is a super-2 number, since 2×2120030021100332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212003002109988 and 212003002110015.

It is not an unprimeable number, because it can be changed into a prime (212003002110013) by changing a digit.

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, 394572235 + ... + 395109167.

It is an arithmetic number, because the mean of its divisors is an integer number (6819626654568).

Almost surely, 2212003002110033 is an apocalyptic number.

212003002110033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212003002110033 is a deficient number, since it is larger than the sum of its proper divisors (115339077309231).

212003002110033 is a wasteful number, since it uses less digits than its factorization.

212003002110033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583526 (or 583523 counting only the distinct ones).

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

Adding to 212003002110033 its reverse (330011200300212), we get a palindrome (542014202410245).

The spelling of 212003002110033 in words is "two hundred twelve trillion, three billion, two million, one hundred ten thousand, thirty-three".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 8487 46523 139569 418707 536933 1070029 1610799 1907443 3210087 4832397 5722329 9630261 12349459 17166987 22014253 37048377 43871189 66042759 111145131 131613567 198128277 394840701 506327819 1518983457 4556950371 24979733959 74939201877 224817605631 574533881057 1024169092319 1723601643171 3072507276957 5170804929513 9217521830871 23555889123337 70667667370011 212003002110033