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4212404313 = 31317431391063
BaseRepresentation
bin1111101100010100…
…0011000001011001
3101212120101022101120
43323011003001121
532111333414223
61533554235453
7206246563065
oct37305030131
911776338346
104212404313
111871879787
12996885b89
1352192ca40
142bd644aa5
15199c2ebe3
hexfb143059

4212404313 has 64 divisors (see below), whose sum is σ = 6606673920. Its totient is φ = 2363655168.

The previous prime is 4212404249. The next prime is 4212404377. The reversal of 4212404313 is 3134042124.

It is an interprime number because it is at equal distance from previous prime (4212404249) and next prime (4212404377).

It is not a de Polignac number, because 4212404313 - 26 = 4212404249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4212404113) 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, 3962220 + ... + 3963282.

It is an arithmetic number, because the mean of its divisors is an integer number (103229280).

Almost surely, 24212404313 is an apocalyptic number.

4212404313 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4212404313 is a deficient number, since it is larger than the sum of its proper divisors (2394269607).

4212404313 is a wasteful number, since it uses less digits than its factorization.

4212404313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4212404313 is about 64903.0377794445. The cubic root of 4212404313 is about 1615.0154558295.

Adding to 4212404313 its reverse (3134042124), we get a palindrome (7346446437).

The spelling of 4212404313 in words is "four billion, two hundred twelve million, four hundred four thousand, three hundred thirteen".

Divisors: 1 3 13 17 39 43 51 129 139 221 417 559 663 731 1063 1677 1807 2193 2363 3189 5421 5977 7089 9503 13819 17931 18071 28509 30719 41457 45709 54213 77701 92157 101609 137127 147757 233103 234923 304827 443271 594217 704769 777053 1320917 1782651 1920841 2331159 2511869 3962751 5762523 6353551 7535607 10101689 19060653 30305067 32654297 82596163 97962891 108010367 247788489 324031101 1404134771 4212404313