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211432204401 = 31129432751059
BaseRepresentation
bin1100010011101001010…
…1110110100001110001
3202012202001222211201020
43010322111312201301
511431003121020101
6241044113530053
721163326040665
oct3047225664161
9665661884636
10211432204401
1181738a70610
1234b88273929
1316c26952572
14a33a53a8a5
155776e39136
hex313a576871

211432204401 has 32 divisors (see below), whose sum is σ = 318222259200. Its totient is φ = 123691068480.

The previous prime is 211432204369. The next prime is 211432204409. The reversal of 211432204401 is 104402234112.

211432204401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211432204401 - 25 = 211432204369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211432204409) 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 31 ways as a sum of consecutive naturals, for example, 4115410 + ... + 4166468.

It is an arithmetic number, because the mean of its divisors is an integer number (9944445600).

Almost surely, 2211432204401 is an apocalyptic number.

It is an amenable number.

211432204401 is a deficient number, since it is larger than the sum of its proper divisors (106790054799).

211432204401 is a wasteful number, since it uses less digits than its factorization.

211432204401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55429.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211432204401 its reverse (104402234112), we get a palindrome (315834438513).

The spelling of 211432204401 in words is "two hundred eleven billion, four hundred thirty-two million, two hundred four thousand, four hundred one".

Divisors: 1 3 11 29 33 87 319 957 4327 12981 47597 51059 125483 142791 153177 376449 561649 1380313 1480711 1684947 4140939 4442133 16287821 48863463 220932293 662796879 2430255223 6407036497 7290765669 19221109491 70477401467 211432204401