Base | Representation |
---|---|
bin | 1010011101110001010001… |
… | …11110000100010001011000 |
3 | 10000111000220001100002211220 |
4 | 11032320220332010101120 |
5 | 11004021333231143112 |
6 | 120540025442252040 |
7 | 4563433422401535 |
oct | 516705076042130 |
9 | 100430801302756 |
10 | 23013122131032 |
11 | 73728a0546000 |
12 | 26b8120057020 |
13 | cac1885a74c7 |
14 | 597babbd1d8c |
15 | 29d95660398c |
hex | 14ee28f84458 |
23013122131032 has 64 divisors (see below), whose sum is σ = 63281763423360. Its totient is φ = 6973673363360.
The previous prime is 23013122130961. The next prime is 23013122131033.
23013122131032 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 23013122130993 and 23013122131011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23013122131033) 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, 360178458 + ... + 360242345.
It is an arithmetic number, because the mean of its divisors is an integer number (988777553490).
Almost surely, 223013122131032 is an apocalyptic number.
23013122131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23013122131032 is an abundant number, since it is smaller than the sum of its proper divisors (40268641292328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23013122131032 is a wasteful number, since it uses less digits than its factorization.
23013122131032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 720420845 (or 720420819 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
It can be divided in two parts, 2301312 and 2131032, that added together give a palindrome (4432344).
The spelling of 23013122131032 in words is "twenty-three trillion, thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, thirty-two".
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