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2023312213233 = 331217495112437
BaseRepresentation
bin11101011100010110110…
…011100100010011110001
321011102112002212222121000
4131130112303210103301
5231122220411310413
64145255150352213
7266115364022223
oct35342663442361
97142462788530
102023312213233
11710099aa6713
1228816b1bb669
13118a4a20939c
146dd00a10413
153796e910073
hex1d716ce44f1

2023312213233 has 32 divisors (see below), whose sum is σ = 3000809790720. Its totient is φ = 1347385881600.

The previous prime is 2023312213207. The next prime is 2023312213331. The reversal of 2023312213233 is 3323122133202.

2023312213233 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 312 + 21 + 323 + 3 = 666.

It is not a de Polignac number, because 2023312213233 - 25 = 2023312213201 is a prime.

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 = 2023312213197 and 2023312213206.

It is not an unprimeable number, because it can be changed into a prime (2023312213133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162678691 + ... + 162691127.

It is an arithmetic number, because the mean of its divisors is an integer number (93775305960).

Almost surely, 22023312213233 is an apocalyptic number.

It is an amenable number.

2023312213233 is a deficient number, since it is larger than the sum of its proper divisors (977497577487).

2023312213233 is a wasteful number, since it uses less digits than its factorization.

2023312213233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18614 (or 18608 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2023312213233 its reverse (3323122133202), we get a palindrome (5346434346435).

The spelling of 2023312213233 in words is "two trillion, twenty-three billion, three hundred twelve million, two hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 27 1217 3651 4951 10953 12437 14853 32859 37311 44559 111933 133677 335799 6025367 15135829 18076101 45407487 54228303 61575587 136222461 162684909 184726761 408667383 554180283 1662540849 74937489379 224812468137 674437404411 2023312213233