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211203311312 = 24714912655999
BaseRepresentation
bin1100010010110010110…
…0101100011011010000
3202012011010021212102102
43010230230230123100
511430021021430222
6241005255535532
721154546345130
oct3045454543320
9665133255372
10211203311312
1181630843874
1234b2368a5a8
1316bbb3c0076
14a317d96ac0
155761cc3d92
hex312cb2c6d0

211203311312 has 40 divisors (see below), whose sum is σ = 470803200000. Its totient is φ = 89908209792.

The previous prime is 211203311303. The next prime is 211203311317. The reversal of 211203311312 is 213113302112.

It is a happy number.

211203311312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2112033113123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211203311317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6311312 + ... + 6344687.

It is an arithmetic number, because the mean of its divisors is an integer number (11770080000).

Almost surely, 2211203311312 is an apocalyptic number.

It is an amenable number.

211203311312 is an abundant number, since it is smaller than the sum of its proper divisors (259599888688).

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

211203311312 is a wasteful number, since it uses less digits than its factorization.

211203311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656163 (or 12656157 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211203311312 its reverse (213113302112), we get a palindrome (424316613424).

The spelling of 211203311312 in words is "two hundred eleven billion, two hundred three million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1192 2086 2384 4172 8344 16688 12655999 25311998 50623996 88591993 101247992 177183986 202495984 354367972 708735944 1417471888 1885743851 3771487702 7542975404 13200206957 15085950808 26400413914 30171901616 52800827828 105601655656 211203311312