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3120413204313 = 33833105144843
BaseRepresentation
bin101101011010000111000…
…111101101111101011001
3102001022022221221211201000
4231122013013231331121
5402111101240014223
610345255324215213
7441304514414556
oct55320707557531
912038287854630
103120413204313
11aa33a59a5369
1242491009a509
1319833b4cca62
14ab05907da2d
1556280b1a543
hex2d6871edf59

3120413204313 has 32 divisors (see below), whose sum is σ = 4678786183680. Its totient is φ = 2055099891600.

The previous prime is 3120413204273. The next prime is 3120413204329. The reversal of 3120413204313 is 3134023140213.

It is a happy number.

3120413204313 is a `hidden beast` number, since 3 + 1 + 20 + 4 + 1 + 320 + 4 + 313 = 666.

It is not a de Polignac number, because 3120413204313 - 221 = 3120411107161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3120413254313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69562870 + ... + 69607712.

It is an arithmetic number, because the mean of its divisors is an integer number (146212068240).

Almost surely, 23120413204313 is an apocalyptic number.

It is an amenable number.

3120413204313 is a deficient number, since it is larger than the sum of its proper divisors (1558372979367).

3120413204313 is a wasteful number, since it uses less digits than its factorization.

3120413204313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75986 (or 75980 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3120413204313 its reverse (3134023140213), we get a palindrome (6254436344526).

The spelling of 3120413204313 in words is "three trillion, one hundred twenty billion, four hundred thirteen million, two hundred four thousand, three hundred thirteen".

Divisors: 1 3 9 27 83 249 747 2241 31051 44843 93153 134529 279459 403587 838377 1210761 2577233 3721969 7731699 11165907 23195097 33497721 69585291 100493163 1392419993 4177259979 12531779937 37595339811 115570859419 346712578257 1040137734771 3120413204313