Base | Representation |
---|---|
bin | 11011110010011010001011… |
… | …000010000110001110111110 |
3 | 121000201021210212002222220000 |
4 | 123302122023002012032332 |
5 | 112004302301444220410 |
6 | 1111531035540335130 |
7 | 34512322510224642 |
oct | 3362321302061676 |
9 | 530637725088800 |
10 | 122211332023230 |
11 | 35a3859797aa4a |
12 | 1185945b9a44a6 |
13 | 532662c9384a8 |
14 | 22270baa1cc22 |
15 | e1dee587ddc0 |
hex | 6f268b0863be |
122211332023230 has 320 divisors, whose sum is σ = 349385629824000. Its totient is φ = 30603876855552.
The previous prime is 122211332023211. The next prime is 122211332023289. The reversal of 122211332023230 is 32320233112221.
122211332023230 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 1 + 332 + 0 + 2 + 323 + 0 = 666.
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 = 122211332023194 and 122211332023203.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123841101 + ... + 124824039.
It is an arithmetic number, because the mean of its divisors is an integer number (1091830093200).
Almost surely, 2122211332023230 is an apocalyptic number.
122211332023230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 122211332023230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174692814912000).
122211332023230 is an abundant number, since it is smaller than the sum of its proper divisors (227174297800770).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122211332023230 is a wasteful number, since it uses less digits than its factorization.
122211332023230 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 983133 (or 983124 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 122211332023230 its reverse (32320233112221), we get a palindrome (154531565135451).
The spelling of 122211332023230 in words is "one hundred twenty-two trillion, two hundred eleven billion, three hundred thirty-two million, twenty-three thousand, two hundred thirty".
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