Search a number
-
+
1011314220444 = 2232112232165799
BaseRepresentation
bin11101011011101110000…
…01100101110110011100
310120200101020010101010200
432231313001211312130
5113032132420023234
62052331421303500
7133031211016323
oct16556701456634
93520336111120
101011314220444
1135a994570200
12143bbb104b90
137449c32c838
1436d3ad4d0ba
151b48ebc2d99
hexeb77065d9c

1011314220444 has 54 divisors (see below), whose sum is σ = 2809902677400. Its totient is φ = 306458853360.

The previous prime is 1011314220409. The next prime is 1011314220461. The reversal of 1011314220444 is 4440224131101.

1011314220444 is a `hidden beast` number, since 101 + 1 + 314 + 2 + 204 + 44 = 666.

It is a super-3 number, since 3×10113142204443 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116078544 + ... + 116087255.

Almost surely, 21011314220444 is an apocalyptic number.

It is an amenable number.

1011314220444 is an abundant number, since it is smaller than the sum of its proper divisors (1798588456956).

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

1011314220444 is a wasteful number, since it uses less digits than its factorization.

1011314220444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232165831 (or 232165815 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1011314220444 its reverse (4440224131101), we get a palindrome (5451538351545).

The spelling of 1011314220444 in words is "one trillion, eleven billion, three hundred fourteen million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 232165799 464331598 696497397 928663196 1392994794 2089492191 2553823789 2785989588 4178984382 5107647578 7661471367 8357968764 10215295156 15322942734 22984414101 28092061679 30645885468 45968828202 56184123358 84276185037 91937656404 112368246716 168552370074 252828555111 337104740148 505657110222 1011314220444