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212223022131330 = 23357112287313297
BaseRepresentation
bin110000010000010000000101…
…110110001110100010000010
31000211102022201022012021221000
4300100100011312032202002
5210304030222131200310
62031205524353512430
762462415220220460
oct6020200566164202
91024368638167830
10212223022131330
1161691307394371
121b9762b0872716
139155711808342
143a599130d3830
15198061b6664c0
hexc10405d8e882

212223022131330 has 64 divisors (see below), whose sum is σ = 646774924596480. Its totient is φ = 48508119343872.

The previous prime is 212223022131317. The next prime is 212223022131343. The reversal of 212223022131330 is 33131220322212.

212223022131330 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 2 + 302 + 21 + 3 + 1 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (212223022131317) and next prime (212223022131343).

It is a super-2 number, since 2×2122230221313302 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212223022131294 and 212223022131303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56143654759 + ... + 56143658538.

It is an arithmetic number, because the mean of its divisors is an integer number (10105858196820).

Almost surely, 2212223022131330 is an apocalyptic number.

212223022131330 is an abundant number, since it is smaller than the sum of its proper divisors (434551902465150).

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

212223022131330 is a wasteful number, since it uses less digits than its factorization.

212223022131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112287313320 (or 112287313314 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212223022131330 its reverse (33131220322212), we get a palindrome (245354242453542).

The spelling of 212223022131330 in words is "two hundred twelve trillion, two hundred twenty-three billion, twenty-two million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 112287313297 224574626594 336861939891 561436566485 673723879782 786011193079 1010585819673 1122873132970 1572022386158 1684309699455 2021171639346 2358033579237 3031757459019 3368619398910 3930055965395 4716067158474 5052929098365 6063514918038 7074100737711 7860111930790 10105858196730 11790167896185 14148201475422 15158787295095 21222302213133 23580335792370 30317574590190 35370503688555 42444604426266 70741007377110 106111511065665 212223022131330