Search a number
-
+
1131022300014 = 232292166709387
BaseRepresentation
bin10000011101010110001…
…011101011001101101110
311000010100212222220002100
4100131112023223031232
5122012313202100024
62223330125035530
7144466533632625
oct20352613531556
94003325886070
101131022300014
113a673366a172
121632490b5ba6
1382868bb7809
143ca555c66bc
151e6492137c9
hex107562eb36e

1131022300014 has 24 divisors (see below), whose sum is σ = 2535049983960. Its totient is φ = 364007176848.

The previous prime is 1131022299977. The next prime is 1131022300021. The reversal of 1131022300014 is 4100032201311.

It is a super-3 number, since 3×11310223000143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1131022300014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1083354172 + ... + 1083355215.

It is an arithmetic number, because the mean of its divisors is an integer number (105627082665).

Almost surely, 21131022300014 is an apocalyptic number.

1131022300014 is an abundant number, since it is smaller than the sum of its proper divisors (1404027683946).

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

1131022300014 is a wasteful number, since it uses less digits than its factorization.

1131022300014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166709424 (or 2166709421 counting only the distinct ones).

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

Adding to 1131022300014 its reverse (4100032201311), we get a palindrome (5231054501325).

The spelling of 1131022300014 in words is "one trillion, one hundred thirty-one billion, twenty-two million, three hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 2166709387 4333418774 6500128161 13000256322 19500384483 39000768966 62834572223 125669144446 188503716669 377007433338 565511150007 1131022300014