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10233133121331 = 323583317335973
BaseRepresentation
bin1001010011101001011001…
…0000111011111100110011
31100020021111122022220011200
42110322112100323330303
52320124424034340311
633433011512542243
72104214402233551
oct224722620737463
940207448286150
1010233133121331
11329593596271a
1211932bb6b1983
13592c98993423
142754017d4bd1
1512b2c20cd556
hex94e9643bf33

10233133121331 has 12 divisors (see below), whose sum is σ = 14785317700608. Its totient is φ = 6820184710224.

The previous prime is 10233133121273. The next prime is 10233133121389. The reversal of 10233133121331 is 13312133133201.

10233133121331 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 13 + 312 + 1 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (10233133121273) and next prime (10233133121389).

It is not a de Polignac number, because 10233133121331 - 223 = 10233124732723 is a prime.

It is a super-2 number, since 2×102331331213312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10233133121295 and 10233133121304.

It is not an unprimeable number, because it can be changed into a prime (10233133123331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158635740 + ... + 158700233.

It is an arithmetic number, because the mean of its divisors is an integer number (1232109808384).

Almost surely, 210233133121331 is an apocalyptic number.

10233133121331 is a deficient number, since it is larger than the sum of its proper divisors (4552184579277).

10233133121331 is a wasteful number, since it uses less digits than its factorization.

10233133121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317339562 (or 317339559 counting only the distinct ones).

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

Adding to 10233133121331 its reverse (13312133133201), we get a palindrome (23545266254532).

The spelling of 10233133121331 in words is "ten trillion, two hundred thirty-three billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 3583 10749 32247 317335973 952007919 2856023757 1137014791259 3411044373777 10233133121331