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211202400041 = 1516532141947
BaseRepresentation
bin1100010010110010100…
…1001101111100101001
3202012011001120120101122
43010230221031330221
511430020303300131
6241005224225025
721154535531303
oct3045451157451
9665131516348
10211202400041
1181630281156
1234b2330b175
1316bbb161359
14a317bda973
155761b93d7b
hex312ca4df29

211202400041 has 8 divisors (see below), whose sum is σ = 212926766784. Its totient is φ = 209482318800.

The previous prime is 211202400023. The next prime is 211202400083. The reversal of 211202400041 is 140004202112.

211202400041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211202400041 - 26 = 211202399977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211202399992 and 211202400019.

It is not an unprimeable number, because it can be changed into a prime (211202400011) 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 7 ways as a sum of consecutive naturals, for example, 972371 + ... + 1169576.

It is an arithmetic number, because the mean of its divisors is an integer number (26615845848).

Almost surely, 2211202400041 is an apocalyptic number.

It is an amenable number.

211202400041 is a deficient number, since it is larger than the sum of its proper divisors (1724366743).

211202400041 is a wasteful number, since it uses less digits than its factorization.

211202400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142751.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211202400041 its reverse (140004202112), we get a palindrome (351206602153).

The spelling of 211202400041 in words is "two hundred eleven billion, two hundred two million, four hundred thousand, forty-one".

Divisors: 1 151 653 98603 2141947 323433997 1398691391 211202400041