Base | Representation |
---|---|
bin | 1010011110000001110100… |
… | …10011111001001100100100 |
3 | 10000111212210222020222221111 |
4 | 11033000322103321030210 |
5 | 11004143030232000400 |
6 | 120544055010154404 |
7 | 4564166460501226 |
oct | 517007223711444 |
9 | 100455728228844 |
10 | 23022003000100 |
11 | 7376638569415 |
12 | 26b999a282a04 |
13 | cacc72476310 |
14 | 5983b1476416 |
15 | 29dcc60ec3ba |
hex | 14f03a4f9324 |
23022003000100 has 144 divisors (see below), whose sum is σ = 55563428088000. Its totient is φ = 8224482424320.
The previous prime is 23022003000091. The next prime is 23022003000107. The reversal of 23022003000100 is 100030022032.
It is a happy number.
It is a super-2 number, since 2×230220030001002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is not an unprimeable number, because it can be changed into a prime (23022003000107) 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, 7272951 + ... + 9946849.
It is an arithmetic number, because the mean of its divisors is an integer number (385857139500).
Almost surely, 223022003000100 is an apocalyptic number.
23022003000100 is a gapful number since it is divisible by the number (20) 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 23022003000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27781714044000).
23022003000100 is an abundant number, since it is smaller than the sum of its proper divisors (32541425087900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23022003000100 is a wasteful number, since it uses less digits than its factorization.
23022003000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2674142 (or 2674135 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
Adding to 23022003000100 its reverse (100030022032), we get a palindrome (23122033022132).
The spelling of 23022003000100 in words is "twenty-three trillion, twenty-two billion, three million, one hundred", and thus it is an aban number.
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