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212333013221301 = 3371123455096409
BaseRepresentation
bin110000010001110110100001…
…110100111011111110110101
31000211210211121202211121001000
4300101312201310323332311
5210312331002341040201
62031332234544353513
762503361003111250
oct6021664164737665
91024724552747030
10212333013221301
1161723a1a4a9215
121b993688615899
139162bc020582b
143a60d89038097
151983407a9dd86
hexc11da1d3bfb5

212333013221301 has 16 divisors (see below), whose sum is σ = 359505630851200. Its totient is φ = 121333150412064.

The previous prime is 212333013221269. The next prime is 212333013221327. The reversal of 212333013221301 is 103122310333212.

212333013221301 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 30 + 1 + 322 + 1 + 301 = 666.

It is not a de Polignac number, because 212333013221301 - 25 = 212333013221269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212333013221201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561727548016 + ... + 561727548393.

It is an arithmetic number, because the mean of its divisors is an integer number (22469101928200).

Almost surely, 2212333013221301 is an apocalyptic number.

212333013221301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212333013221301 is a deficient number, since it is larger than the sum of its proper divisors (147172617629899).

212333013221301 is a wasteful number, since it uses less digits than its factorization.

212333013221301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123455096425 (or 1123455096419 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212333013221301 its reverse (103122310333212), we get a palindrome (315455323554513).

The spelling of 212333013221301 in words is "two hundred twelve trillion, three hundred thirty-three billion, thirteen million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 189 1123455096409 3370365289227 7864185674863 10111095867681 23592557024589 30333287603043 70777671073767 212333013221301