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2115004311 = 337411911429
BaseRepresentation
bin111111000010000…
…0110011110010111
312110101202100111000
41332010012132113
513312420114221
6545511514343
7103261145220
oct17604063627
95411670430
102115004311
11995957052
124b03889b3
13279242454
14160c74247
15c5a2ce26
hex7e106797

2115004311 has 64 divisors (see below), whose sum is σ = 3690086400. Its totient is φ = 1172102400.

The previous prime is 2115004291. The next prime is 2115004313. The reversal of 2115004311 is 1134005112.

It is not a de Polignac number, because 2115004311 - 215 = 2114971543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115004313) 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 63 ways as a sum of consecutive naturals, for example, 1479345 + ... + 1480773.

It is an arithmetic number, because the mean of its divisors is an integer number (57657600).

Almost surely, 22115004311 is an apocalyptic number.

2115004311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2115004311 is a deficient number, since it is larger than the sum of its proper divisors (1575082089).

2115004311 is a wasteful number, since it uses less digits than its factorization.

2115004311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2115004311 is about 45989.1760200158. The cubic root of 2115004311 is about 1283.6218042848.

Adding to 2115004311 its reverse (1134005112), we get a palindrome (3249009423).

The spelling of 2115004311 in words is "two billion, one hundred fifteen million, four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 41 63 123 189 191 287 369 573 861 1107 1337 1429 1719 2583 4011 4287 5157 7749 7831 10003 12033 12861 23493 30009 36099 38583 54817 58589 70479 90027 164451 175767 211437 270081 272939 410123 493353 527301 818817 1230369 1480059 1581903 1910573 2456451 3691107 5731719 7369353 11073321 11190499 17195157 33571497 51585471 78333493 100714491 235000479 302143473 705001437 2115004311