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211133123232140 = 22597730841350351
BaseRepresentation
bin110000000000011001000010…
…110011111000000110001100
31000200120010111101010121120002
4300000121002303320012030
5210133201114021412030
62025013115013543432
762320602421353434
oct6000310263700614
91020503441117502
10211133123232140
116130106692097a
121b81b01b944b78
1390a69ca6580c5
143a1cc7d3892c4
1519620cc894245
hexc00642cf818c

211133123232140 has 48 divisors (see below), whose sum is σ = 443849034029184. Its totient is φ = 84363831552000.

The previous prime is 211133123232127. The next prime is 211133123232151. The reversal of 211133123232140 is 41232321331112.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 602457965 + ... + 602808315.

It is an arithmetic number, because the mean of its divisors is an integer number (9246854875608).

Almost surely, 2211133123232140 is an apocalyptic number.

211133123232140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211133123232140 is an abundant number, since it is smaller than the sum of its proper divisors (232715910797044).

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

211133123232140 is a wasteful number, since it uses less digits than its factorization.

211133123232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382178 (or 382176 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 211133123232140 its reverse (41232321331112), we get a palindrome (252365444563252).

The spelling of 211133123232140 in words is "two hundred eleven trillion, one hundred thirty-three billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 977 1954 3908 4885 9770 19540 30841 61682 123364 154205 308410 350351 616820 700702 1401404 1751755 3503510 7007020 30131657 60263314 120526628 150658285 301316570 342292927 602633140 684585854 1369171708 1711464635 3422929270 6845858540 10805175191 21610350382 43220700764 54025875955 108051751910 216103503820 10556656161607 21113312323214 42226624646428 52783280808035 105566561616070 211133123232140