Base | Representation |
---|---|
bin | 1110100010111… |
… | …10110010111100 |
3 | 22111121102020002 |
4 | 13101132302330 |
5 | 222214214400 |
6 | 20035213432 |
7 | 3011115323 |
oct | 721366274 |
9 | 274542202 |
10 | 122023100 |
11 | 62973841 |
12 | 34a47278 |
13 | 1c384a24 |
14 | 122c50ba |
15 | aaa4ed5 |
hex | 745ecbc |
122023100 has 36 divisors (see below), whose sum is σ = 266576688. Its totient is φ = 48480000.
The previous prime is 122023087. The next prime is 122023117. The reversal of 122023100 is 1320221.
It is a happy number.
It is a super-2 number, since 2×1220231002 = 29779273867220000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11060 + ... + 19140.
It is an arithmetic number, because the mean of its divisors is an integer number (7404908).
Almost surely, 2122023100 is an apocalyptic number.
122023100 is a gapful number since it is divisible by the number (10) 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 122023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133288344).
122023100 is an abundant number, since it is smaller than the sum of its proper divisors (144553588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122023100 is a wasteful number, since it uses less digits than its factorization.
122023100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8246 (or 8239 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 122023100 is about 11046.4066555600. The cubic root of 122023100 is about 495.9988672798.
Adding to 122023100 its reverse (1320221), we get a palindrome (123343321).
The spelling of 122023100 in words is "one hundred twenty-two million, twenty-three thousand, one hundred".
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