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2212005311541 = 32245778367949
BaseRepresentation
bin100000001100000101110…
…010100111010000110101
321211110120110020112212200
4200030011302213100311
5242220141324432131
64412103050335113
7315545360630244
oct40140562472065
97743513215780
102212005311541
11783119371263
122b885012a499
1313078bb5788c
14790c117295b
153c8153c12e6
hex20305ca7435

2212005311541 has 6 divisors (see below), whose sum is σ = 3195118783350. Its totient is φ = 1474670207688.

The previous prime is 2212005311521. The next prime is 2212005311599. The reversal of 2212005311541 is 1451135002122.

It is a happy number.

2212005311541 is a `hidden beast` number, since 2 + 2 + 120 + 0 + 531 + 1 + 5 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1340144261316 + 871861050225 = 1157646^2 + 933735^2 .

It is not a de Polignac number, because 2212005311541 - 27 = 2212005311413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212005311521) 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 5 ways as a sum of consecutive naturals, for example, 122889183966 + ... + 122889183983.

It is an arithmetic number, because the mean of its divisors is an integer number (532519797225).

Almost surely, 22212005311541 is an apocalyptic number.

It is an amenable number.

2212005311541 is a deficient number, since it is larger than the sum of its proper divisors (983113471809).

2212005311541 is a wasteful number, since it uses less digits than its factorization.

2212005311541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245778367955 (or 245778367952 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 2212005311541 in words is "two trillion, two hundred twelve billion, five million, three hundred eleven thousand, five hundred forty-one".

Divisors: 1 3 9 245778367949 737335103847 2212005311541