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212300233212033 = 323115111921926203
BaseRepresentation
bin110000010001010111111111…
…111111001000000010000001
31000211200201000021110120212200
4300101113333333020002001
5210311311334200241113
62031305214123143413
762501120455454151
oct6021277777100201
91024621007416780
10212300233212033
1161711028aa106a
121b98925a674b69
13915ca97bc2645
143a5d5596d0761
151982639d88873
hexc115fffc8081

212300233212033 has 48 divisors (see below), whose sum is σ = 316786084392960. Its totient is φ = 136864899784800.

The previous prime is 212300233212031. The next prime is 212300233212097. The reversal of 212300233212033 is 330212332003212.

212300233212033 is a `hidden beast` number, since 2 + 1 + 2 + 300 + 2 + 3 + 321 + 2 + 0 + 33 = 666.

It is not a de Polignac number, because 212300233212033 - 21 = 212300233212031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212300233211988 and 212300233212006.

It is not an unprimeable number, because it can be changed into a prime (212300233212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8102121510 + ... + 8102147712.

It is an arithmetic number, because the mean of its divisors is an integer number (6599710091520).

Almost surely, 2212300233212033 is an apocalyptic number.

It is an amenable number.

212300233212033 is a deficient number, since it is larger than the sum of its proper divisors (104485851180927).

212300233212033 is a wasteful number, since it uses less digits than its factorization.

212300233212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46970 (or 46967 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 212300233212033 its reverse (330212332003212), we get a palindrome (542512565215245).

The spelling of 212300233212033 in words is "two hundred twelve trillion, three hundred billion, two hundred thirty-three million, two hundred twelve thousand, thirty-three".

Divisors: 1 3 9 31 93 279 1511 4533 13599 19219 26203 46841 57657 78609 140523 172971 235827 421569 595789 812293 1787367 2436879 5362101 7310637 29039909 39592733 87119727 118778199 261359181 356334597 503595457 900237179 1227374723 1510786371 2700711537 3682124169 4532359113 8102134611 11046372507 15611459167 46834377501 140503132503 760932735527 2282798206581 6848394619743 23588914801337 70766744404011 212300233212033