Base | Representation |
---|---|
bin | 11110111000101001101… |
… | …000000110011111011110 |
3 | 21111220022120001001120000 |
4 | 132320221220012133132 |
5 | 234233200012104210 |
6 | 4303004523435130 |
7 | 306224232140643 |
oct | 36705150063736 |
9 | 7456276031500 |
10 | 2122412222430 |
11 | 749123406365 |
12 | 2a3407685aa6 |
13 | 1251b1426696 |
14 | 74a22317dca |
15 | 3a31eb20ac0 |
hex | 1ee29a067de |
2122412222430 has 160 divisors (see below), whose sum is σ = 6043625913600. Its totient is φ = 532596280320.
The previous prime is 2122412222419. The next prime is 2122412222461. The reversal of 2122412222430 is 342222142212.
2122412222430 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 1 + 2 + 222 + 430 = 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 = 2122412222394 and 2122412222403.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139633971 + ... + 139649169.
It is an arithmetic number, because the mean of its divisors is an integer number (37772661960).
Almost surely, 22122412222430 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122412222430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021812956800).
2122412222430 is an abundant number, since it is smaller than the sum of its proper divisors (3921213691170).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122412222430 is a wasteful number, since it uses less digits than its factorization.
2122412222430 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25376 (or 25367 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 2122412222430 its reverse (342222142212), we get a palindrome (2464634364642).
The spelling of 2122412222430 in words is "two trillion, one hundred twenty-two billion, four hundred twelve million, two hundred twenty-two thousand, four hundred thirty".
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