Search a number
-
+
2034261011133 = 321319248163009
BaseRepresentation
bin11101100110100011011…
…001111010101010111101
321012110210010222112202100
4131212203121322222331
5231312131304324013
64154305425215313
7266653612202631
oct35464331725275
97173703875670
102034261011133
117147a834261a
1228a305a91539
13119aa3647420
147065cb92dc1
1537db0c38473
hex1d9a367aabd

2034261011133 has 36 divisors (see below), whose sum is σ = 3339719439420. Its totient is φ = 1185965908992.

The previous prime is 2034261011119. The next prime is 2034261011161. The reversal of 2034261011133 is 3311101624302.

It is a happy number.

2034261011133 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 2 + 610 + 1 + 11 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 945489803769 + 1088771207364 = 972363^2 + 1043442^2 .

It is a de Polignac number, because none of the positive numbers 2k-2034261011133 is a prime.

It is a super-2 number, since 2×20342610111332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2034261011097 and 2034261011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034261011333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24039268 + ... + 24123741.

Almost surely, 22034261011133 is an apocalyptic number.

It is an amenable number.

2034261011133 is a deficient number, since it is larger than the sum of its proper divisors (1305458428287).

2034261011133 is a wasteful number, since it uses less digits than its factorization.

2034261011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48163066 (or 48163044 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 2034261011133 its reverse (3311101624302), we get a palindrome (5345362635435).

The spelling of 2034261011133 in words is "two trillion, thirty-four billion, two hundred sixty-one million, eleven thousand, one hundred thirty-three".

Divisors: 1 3 9 13 19 39 57 117 171 247 361 741 1083 2223 3249 4693 14079 42237 48163009 144489027 433467081 626119117 915097171 1878357351 2745291513 5635072053 8235874539 11896263223 17386846249 35688789669 52160538747 107066369007 156481616241 226029001237 678087003711 2034261011133