Search a number
-
+
133133021103231 = 3317290050154909
BaseRepresentation
bin11110010001010101110010…
…011011100100010001111111
3122110101101121010221202101000
4132101111302123210101333
5114422222411400300411
61151052244321221343
740020354241531212
oct3621256233442177
9573341533852330
10133133021103231
1139469440707666
1212b220a3491853
13593950bb4c756
1424c395b89b779
15105d166eb2956
hex7915726e447f

133133021103231 has 16 divisors (see below), whose sum is σ = 208836111535200. Its totient is φ = 83534444613504.

The previous prime is 133133021103209. The next prime is 133133021103241. The reversal of 133133021103231 is 132301120331331.

133133021103231 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 330 + 2 + 1 + 1 + 0 + 323 + 1 = 666.

It is not a de Polignac number, because 133133021103231 - 218 = 133133020841087 is a prime.

It is a super-2 number, since 2×1331330211032312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133133021103195 and 133133021103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133021103241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145025076996 + ... + 145025077913.

It is an arithmetic number, because the mean of its divisors is an integer number (13052256970950).

Almost surely, 2133133021103231 is an apocalyptic number.

133133021103231 is a deficient number, since it is larger than the sum of its proper divisors (75703090431969).

133133021103231 is a wasteful number, since it uses less digits than its factorization.

133133021103231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290050154935 (or 290050154929 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133133021103231 its reverse (132301120331331), we get a palindrome (265434141434562).

The spelling of 133133021103231 in words is "one hundred thirty-three trillion, one hundred thirty-three billion, twenty-one million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 459 290050154909 870150464727 2610451394181 4930852633453 7831354182543 14792557900359 44377673701077 133133021103231