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10204412211 = 33753991599
BaseRepresentation
bin10011000000011101…
…01111100100110011
3222100011101211222000
421200032233210303
5131344312142321
64404323545043
7510606033630
oct114016574463
928304354860
1010204412211
114367140a24
121b8952b183
13c6815ab46
146cb373187
153eacd9826
hex2603af933

10204412211 has 16 divisors (see below), whose sum is σ = 17277312000. Its totient is φ = 5831092584.

The previous prime is 10204412209. The next prime is 10204412219. The reversal of 10204412211 is 11221440201.

10204412211 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 441 + 221 + 1 = 666.

10204412211 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10204412211 - 21 = 10204412209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10204412219) 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 15 ways as a sum of consecutive naturals, for example, 26995611 + ... + 26995988.

It is an arithmetic number, because the mean of its divisors is an integer number (1079832000).

Almost surely, 210204412211 is an apocalyptic number.

10204412211 is a deficient number, since it is larger than the sum of its proper divisors (7072899789).

10204412211 is an equidigital number, since it uses as much as digits as its factorization.

10204412211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53991615 (or 53991609 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10204412211 its reverse (11221440201), we get a palindrome (21425852412).

The spelling of 10204412211 in words is "ten billion, two hundred four million, four hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 53991599 161974797 377941193 485924391 1133823579 1457773173 3401470737 10204412211