Search a number
-
+
212021311320 = 233357132157319
BaseRepresentation
bin1100010101110101110…
…1000111011101011000
3202021021010111120111000
43011131131013131120
511433204423430240
6241222400305000
721214041260610
oct3053535073530
9667233446430
10212021311320
1181a10559335
1235111612160
1316cbba05c40
14a394889a40
1557ada04430
hex315d747758

212021311320 has 256 divisors, whose sum is σ = 869831424000. Its totient is φ = 44734146048.

The previous prime is 212021311319. The next prime is 212021311321. The reversal of 212021311320 is 23113120212.

212021311320 is a `hidden beast` number, since 2 + 12 + 0 + 21 + 311 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (212021311319) and next prime (212021311321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212021311293 and 212021311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021311321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980380 + ... + 1176939.

It is an arithmetic number, because the mean of its divisors is an integer number (3397779000).

Almost surely, 2212021311320 is an apocalyptic number.

212021311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021311320 is an abundant number, since it is smaller than the sum of its proper divisors (657810112680).

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

212021311320 is a wasteful number, since it uses less digits than its factorization.

212021311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157359 (or 2157349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212021311320 its reverse (23113120212), we get a palindrome (235134431532).

The spelling of 212021311320 in words is "two hundred twelve billion, twenty-one million, three hundred eleven thousand, three hundred twenty".