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211433411020 = 22513983827269
BaseRepresentation
bin1100010011101001101…
…0011101000111001100
3202012202011021010212211
43010322122131013030
511431003423123040
6241044155440204
721163342224556
oct3047232350714
9665664233784
10211433411020
1181739715117
1234b88756064
1316c26c85840
14a33a7724d6
1557770c68ea
hex313a69d1cc

211433411020 has 48 divisors (see below), whose sum is σ = 478651803840. Its totient is φ = 77988208896.

The previous prime is 211433410999. The next prime is 211433411027. The reversal of 211433411020 is 20114334112.

211433411020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211433410982 and 211433411000.

It is not an unprimeable number, because it can be changed into a prime (211433411027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158055 + ... + 669214.

It is an arithmetic number, because the mean of its divisors is an integer number (9971912580).

Almost surely, 2211433411020 is an apocalyptic number.

211433411020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211433411020 is an abundant number, since it is smaller than the sum of its proper divisors (267218392820).

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

211433411020 is a wasteful number, since it uses less digits than its factorization.

211433411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828274 (or 828272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211433411020 its reverse (20114334112), we get a palindrome (231547745132).

The spelling of 211433411020 in words is "two hundred eleven billion, four hundred thirty-three million, four hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 983 1966 3932 4915 9830 12779 19660 25558 51116 63895 127790 255580 827269 1654538 3309076 4136345 8272690 10754497 16545380 21508994 43017988 53772485 107544970 215089940 813205427 1626410854 3252821708 4066027135 8132054270 10571670551 16264108540 21143341102 42286682204 52858352755 105716705510 211433411020