Search a number
-
+
3111374960281 = 7267237612
BaseRepresentation
bin101101010001101100011…
…001100011011010011001
3102000110000001220110202001
4231101230121203122121
5401434043442212111
610341202415241001
7440534525541100
oct55215431433231
912013001813661
103111374960281
11a9a5880628a5
12423009219161
1319752ab4c273
14aa83c951037
1555e023d71c1
hex2d46c663699

3111374960281 has 27 divisors (see below), whose sum is σ = 3675158210367. Its totient is φ = 2626389944640.

The previous prime is 3111374960261. The next prime is 3111374960311. The reversal of 3111374960281 is 1820694731113.

The square root of 3111374960281 is 1763909.

It is a perfect power (a square), and thus also a powerful number.

3111374960281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1386880720281 + 1724494240000 = 1177659^2 + 1313200^2 .

It is not a de Polignac number, because 3111374960281 - 227 = 3111240742553 is a prime.

It is a super-3 number, since 3×31113749602813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3111374960251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 827271441 + ... + 827275201.

Almost surely, 23111374960281 is an apocalyptic number.

3111374960281 is the 1763909-th square number.

3111374960281 is the 881955-th centered octagonal number.

It is an amenable number.

3111374960281 is a deficient number, since it is larger than the sum of its proper divisors (563783250086).

3111374960281 is an frugal number, since it uses more digits than its factorization.

3111374960281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 3111374960281 in words is "three trillion, one hundred eleven billion, three hundred seventy-four million, nine hundred sixty thousand, two hundred eighty-one".

Divisors: 1 7 49 67 469 3283 3761 4489 26327 31423 184289 219961 251987 1763909 12347363 14145121 16883129 99015847 118181903 693110929 827273321 947723107 6634061749 46438432243 63497448169 444482137183 3111374960281