Base | Representation |
---|---|
bin | 1010100111011000000111… |
… | …10100000100010000011100 |
3 | 10001122120220112012221201100 |
4 | 11103230003310010100130 |
5 | 11024423344033444312 |
6 | 121351420113313100 |
7 | 4626330351442353 |
oct | 523540364042034 |
9 | 101576815187640 |
10 | 23343211234332 |
11 | 748a889204a20 |
12 | 27500a2265790 |
13 | 1004342097c42 |
14 | 5a9b6313499a |
15 | 2a732563c5dc |
hex | 153b03d0441c |
23343211234332 has 144 divisors (see below), whose sum is σ = 64688757719040. Its totient is φ = 7038774979200.
The previous prime is 23343211234331. The next prime is 23343211234361.
23343211234332 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 3 + 211 + 2 + 3 + 433 + 2 = 666.
23343211234332 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×233432112343323 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23343211234331) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197662582 + ... + 197780642.
It is an arithmetic number, because the mean of its divisors is an integer number (449227484160).
Almost surely, 223343211234332 is an apocalyptic number.
23343211234332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23343211234332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32344378859520).
23343211234332 is an abundant number, since it is smaller than the sum of its proper divisors (41345546484708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23343211234332 is a wasteful number, since it uses less digits than its factorization.
23343211234332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 120544 (or 120539 counting only the distinct ones).
The product of its digits is 186624, while the sum is 36.
It can be divided in two parts, 2334321 and 1234332, that added together give a palindrome (3568653).
The spelling of 23343211234332 in words is "twenty-three trillion, three hundred forty-three billion, two hundred eleven million, two hundred thirty-four thousand, three hundred thirty-two".
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