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212311142060 = 225234319156197
BaseRepresentation
bin1100010110111010111…
…0101110111010101100
3202022000022212111111212
43011232232232322230
511434303123021220
6241311232333552
721224160634313
oct3055656567254
9668008774455
10212311142060
118204a117476
12351926a42b8
1317036a83114
14a3c117327a
1557c91a50c5
hex316ebaeeac

212311142060 has 96 divisors (see below), whose sum is σ = 478558789632. Its totient is φ = 78926158080.

The previous prime is 212311142059. The next prime is 212311142107. The reversal of 212311142060 is 60241113212.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3749882 + ... + 3806078.

It is an arithmetic number, because the mean of its divisors is an integer number (4984987392).

Almost surely, 2212311142060 is an apocalyptic number.

212311142060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212311142060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239279394816).

212311142060 is an abundant number, since it is smaller than the sum of its proper divisors (266247647572).

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

212311142060 is a wasteful number, since it uses less digits than its factorization.

212311142060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56463 (or 56461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 212311142060 its reverse (60241113212), we get a palindrome (272552255272).

The spelling of 212311142060 in words is "two hundred twelve billion, three hundred eleven million, one hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 191 215 230 382 430 460 764 860 955 989 1910 1978 3820 3956 4393 4945 8213 8786 9890 16426 17572 19780 21965 32852 41065 43930 56197 82130 87860 112394 164260 188899 224788 280985 377798 561970 755596 944495 1123940 1292531 1888990 2416471 2585062 3777980 4832942 5170124 6462655 9665884 10733627 12082355 12925310 21467254 24164710 25850620 42934508 48329420 53668135 55578833 107336270 111157666 214672540 222315332 246873421 277894165 461545961 493746842 555788330 923091922 987493684 1111576660 1234367105 1846183844 2307729805 2468734210 4615459610 4937468420 9230919220 10615557103 21231114206 42462228412 53077785515 106155571030 212311142060