Search a number
-
+
11133313202024 = 23131033103631257
BaseRepresentation
bin1010001000000010110100…
…1011011011011101101000
31110102100000201222000200022
42202000231023123131220
52424402011134431044
635402323512100012
72226232610536646
oct242005513333550
943370021860608
1011133313202024
11360268006a832
1212b9864094608
13629b36851050
142a6bd8a96196
1514490a32c3ee
hexa202d2db768

11133313202024 has 32 divisors (see below), whose sum is σ = 22502491362120. Its totient is φ = 5133477897216.

The previous prime is 11133313202021. The next prime is 11133313202027. The reversal of 11133313202024 is 42020231333111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11133313202021) and next prime (11133313202027).

It can be written as a sum of positive squares in 4 ways, for example, as 9738830904100 + 1394482297924 = 3120710^2 + 1180882^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 11133313201984 and 11133313202002.

It is not an unprimeable number, because it can be changed into a prime (11133313202021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51708197 + ... + 51923060.

Almost surely, 211133313202024 is an apocalyptic number.

It is an amenable number.

11133313202024 is an abundant number, since it is smaller than the sum of its proper divisors (11369178160096).

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

11133313202024 is a wasteful number, since it uses less digits than its factorization.

11133313202024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103632309 (or 103632305 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11133313202024 its reverse (42020231333111), we get a palindrome (53153544535135).

The spelling of 11133313202024 in words is "eleven trillion, one hundred thirty-three billion, three hundred thirteen million, two hundred two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 1033 2066 4132 8264 13429 26858 53716 107432 103631257 207262514 414525028 829050056 1347206341 2694412682 5388825364 10777650728 107051088481 214102176962 428204353924 856408707848 1391664150253 2783328300506 5566656601012 11133313202024