Search a number
-
+
2231000231112 = 2332151213204917
BaseRepresentation
bin100000011101110001111…
…110011110110011001000
321220021121020112102222100
4200131301332132303020
5243023042024343422
64424523553353400
7320120160033432
oct40356176366310
97807536472870
102231000231112
117901865174a4
12300471568860
131324c8236a63
1479da3b87652
153d077ca57ac
hex20771f9ecc8

2231000231112 has 48 divisors (see below), whose sum is σ = 6042361738140. Its totient is φ = 743658196608.

The previous prime is 2231000231111. The next prime is 2231000231123. The reversal of 2231000231112 is 2111320001322.

2231000231112 is a `hidden beast` number, since 223 + 100 + 0 + 231 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2100140062596 + 130860168516 = 1449186^2 + 361746^2 .

It is a super-3 number, since 3×22310002311123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2231000231111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10784878 + ... + 10989794.

Almost surely, 22231000231112 is an apocalyptic number.

It is an amenable number.

2231000231112 is an abundant number, since it is smaller than the sum of its proper divisors (3811361507028).

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

2231000231112 is a wasteful number, since it uses less digits than its factorization.

2231000231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356142 (or 356135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2231000231112 its reverse (2111320001322), we get a palindrome (4342320232434).

The spelling of 2231000231112 in words is "two trillion, two hundred thirty-one billion, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151213 204917 302426 409834 453639 604852 614751 819668 907278 1209704 1229502 1360917 1639336 1814556 1844253 2459004 2721834 3629112 3688506 4918008 5443668 7377012 10887336 14754024 30986114321 61972228642 92958342963 123944457284 185916685926 247888914568 278875028889 371833371852 557750057778 743666743704 1115500115556 2231000231112