Search a number
-
+
212233403111310 = 2355712476978431
BaseRepresentation
bin110000010000011001110000…
…100110100001011110001110
31000211110022111202211201100000
4300100121300212201132032
5210304213002144030220
62031214402430145130
762463233402126310
oct6020316046413616
91024408452751300
10212233403111310
1161695754163269
121b9783093521a6
1391566a7407a49
143a5a219aa97b0
151980a27bcc390
hexc106709a178e

212233403111310 has 96 divisors (see below), whose sum is σ = 653993301491712. Its totient is φ = 48510492135840.

The previous prime is 212233403111269. The next prime is 212233403111347. The reversal of 212233403111310 is 13111304332212.

212233403111310 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 34 + 0 + 311 + 1 + 310 = 666.

It is a super-2 number, since 2×2122334031113102 (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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6238472206 + ... + 6238506225.

It is an arithmetic number, because the mean of its divisors is an integer number (6812430223872).

Almost surely, 2212233403111310 is an apocalyptic number.

212233403111310 is an abundant number, since it is smaller than the sum of its proper divisors (441759898380402).

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

212233403111310 is a wasteful number, since it uses less digits than its factorization.

212233403111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12476978460 (or 12476978448 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212233403111310 its reverse (13111304332212), we get a palindrome (225344707443522).

The spelling of 212233403111310 in words is "two hundred twelve trillion, two hundred thirty-three billion, four hundred three million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 12476978431 24953956862 37430935293 62384892155 74861870586 87338849017 112292805879 124769784310 174677698034 187154676465 224585611758 262016547051 336878417637 374309352930 436694245085 524033094102 561464029395 673756835274 786049641153 873388490170 1010635252911 1122928058790 1310082735255 1572099282306 1684392088185 2021270505822 2358148923459 2620165470510 3031905758733 3368784176370 3930248205765 4716297846918 5053176264555 6063811517466 7074446770377 7860496411530 10106352529110 11790744617295 14148893540754 15159528793665 21223340311131 23581489234590 30319057587330 35372233851885 42446680622262 70744467703770 106116701555655 212233403111310