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2111014312 = 231161479821
BaseRepresentation
bin111110111010011…
…1000010110101000
312110010020122020021
41331310320112220
513310404424222
6545250210224
7103212216451
oct17564702650
95403218207
102111014312
11993681330
124aab83974
132784762c4
14160516128
15c54e0ac7
hex7dd385a8

2111014312 has 64 divisors (see below), whose sum is σ = 4403289600. Its totient is φ = 940704000.

The previous prime is 2111014291. The next prime is 2111014319. The reversal of 2111014312 is 2134101112.

It is not an unprimeable number, because it can be changed into a prime (2111014319) 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 15 ways as a sum of consecutive naturals, for example, 2570862 + ... + 2571682.

It is an arithmetic number, because the mean of its divisors is an integer number (68801400).

Almost surely, 22111014312 is an apocalyptic number.

2111014312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201644800).

2111014312 is an abundant number, since it is smaller than the sum of its proper divisors (2292275288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111014312 is a wasteful number, since it uses less digits than its factorization.

2111014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2111014312 is about 45945.7757797167. The cubic root of 2111014312 is about 1282.8141032055.

Adding to 2111014312 its reverse (2134101112), we get a palindrome (4245115424).

The spelling of 2111014312 in words is "two billion, one hundred eleven million, fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 479 488 671 821 958 1342 1642 1916 2684 3284 3832 5269 5368 6568 9031 10538 18062 21076 29219 36124 42152 50081 58438 72248 100162 116876 200324 233752 321409 393259 400648 550891 642818 786518 1101782 1285636 1573036 2203564 2571272 3146072 4325849 4407128 8651698 17303396 23988799 34606792 47977598 95955196 191910392 263876789 527753578 1055507156 2111014312