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211320024140 = 22510566001207
BaseRepresentation
bin1100010011001110100…
…1111010110001001100
3202012110020220111022202
43010303221322301030
511430240411233030
6241025025301032
721160464365561
oct3046351726114
9665406814282
10211320024140
118169070a955
1234b56794778
1316c09635a04
14a329698868
15576c17a745
hex3133a7ac4c

211320024140 has 12 divisors (see below), whose sum is σ = 443772050736. Its totient is φ = 84528009648.

The previous prime is 211320024133. The next prime is 211320024143. The reversal of 211320024140 is 41420023112.

211320024140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10566001207 = 211320024140 / (2 + 1 + 1 + 3 + 2 + 0 + 0 + 2 + 4 + 1 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (211320024143) 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 3 ways as a sum of consecutive naturals, for example, 5283000584 + ... + 5283000623.

It is an arithmetic number, because the mean of its divisors is an integer number (36981004228).

Almost surely, 2211320024140 is an apocalyptic number.

211320024140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320024140 is an abundant number, since it is smaller than the sum of its proper divisors (232452026596).

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

211320024140 is a wasteful number, since it uses less digits than its factorization.

211320024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566001216 (or 10566001214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211320024140 its reverse (41420023112), we get a palindrome (252740047252).

The spelling of 211320024140 in words is "two hundred eleven billion, three hundred twenty million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10566001207 21132002414 42264004828 52830006035 105660012070 211320024140