Search a number
-
+
211203313303312 = 24112941379959503
BaseRepresentation
bin110000000001011010011010…
…011101101111111100010000
31000200210211200001010200001201
4300001122122131233330100
5210140323341201201222
62025105243534440544
762325635664205441
oct6001323235577420
91020724601120051
10211203313303312
1161328905334260
121b83074a363154
1390b05052916b5
143a2241b31b2c8
151963d399ec427
hexc0169a76ff10

211203313303312 has 40 divisors (see below), whose sum is σ = 461800348064640. Its totient is φ = 92691109284480.

The previous prime is 211203313303259. The next prime is 211203313303319. The reversal of 211203313303312 is 213303313302112.

It is a happy number.

It is a super-3 number, since 3×2112033133033123 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211203313303319) 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 7 ways as a sum of consecutive naturals, for example, 20689974648 + ... + 20689984855.

It is an arithmetic number, because the mean of its divisors is an integer number (11545008701616).

Almost surely, 2211203313303312 is an apocalyptic number.

211203313303312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211203313303312 is an abundant number, since it is smaller than the sum of its proper divisors (250597034761328).

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

211203313303312 is a wasteful number, since it uses less digits than its factorization.

211203313303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41379959551 (or 41379959545 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 211203313303312 its reverse (213303313302112), we get a palindrome (424506626605424).

The spelling of 211203313303312 in words is "two hundred eleven trillion, two hundred three billion, three hundred thirteen million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 41379959503 82759919006 165519838012 331039676024 455179554533 662079352048 910359109066 1200018825587 1820718218132 2400037651174 3641436436264 4800075302348 7282872872528 9600150604696 13200207081457 19200301209392 26400414162914 52800828325828 105601656651656 211203313303312