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4212132405 = 3513291494999
BaseRepresentation
bin1111101100010000…
…0000101000110101
3101212112212111101220
43323010000220311
532111301214110
61533544340553
7206244351255
oct37304005065
911775774356
104212132405
111871703468
12996774759
13521866050
142bd5b3965
15199bc9370
hexfb100a35

4212132405 has 64 divisors (see below), whose sum is σ = 7560000000. Its totient is φ = 1988324352.

The previous prime is 4212132403. The next prime is 4212132413. The reversal of 4212132405 is 5042312124.

It is not a de Polignac number, because 4212132405 - 21 = 4212132403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212132403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840096 + ... + 845094.

It is an arithmetic number, because the mean of its divisors is an integer number (118125000).

Almost surely, 24212132405 is an apocalyptic number.

It is an amenable number.

4212132405 is a deficient number, since it is larger than the sum of its proper divisors (3347867595).

4212132405 is a wasteful number, since it uses less digits than its factorization.

4212132405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4212132405 is about 64900.9430208838. The cubic root of 4212132405 is about 1614.9807056774.

Adding to 4212132405 its reverse (5042312124), we get a palindrome (9254444529).

The spelling of 4212132405 in words is "four billion, two hundred twelve million, one hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 13 15 29 39 65 87 145 149 195 377 435 447 745 1131 1885 1937 2235 4321 4999 5655 5811 9685 12963 14997 21605 24995 29055 56173 64815 64987 74985 144971 168519 194961 280865 324935 434913 724855 744851 842595 974805 1884623 2174565 2234553 3724255 5653869 9423115 9683063 11172765 21600679 28269345 29049189 48415315 64802037 108003395 145245945 280808827 324010185 842426481 1404044135 4212132405