| Base | Representation |
|---|---|
| bin | 101101111101001110111100… |
| … | …000000011110000010101000 |
| 3 | 222111122111002201200220120100 |
| 4 | 231331032330000132002220 |
| 5 | 202443013300134101440 |
| 6 | 1553512353324225400 |
| 7 | 60400455344010600 |
| oct | 5575167400360250 |
| 9 | 874574081626510 |
| 10 | 202120020222120 |
| 11 | 5944668a180450 |
| 12 | 1a80426999b260 |
| 13 | 88a1ab3c6ab60 |
| 14 | 37ca9383a1c00 |
| 15 | 1857913bb9230 |
| hex | b7d3bc01e0a8 |
202120020222120 has 1152 divisors, whose sum is σ = 904282186429440. Its totient is φ = 38485229690880.
The previous prime is 202120020222101. The next prime is 202120020222151. The reversal of 202120020222120 is 21222020021202.
202120020222120 is a `hidden beast` number, since 2 + 0 + 21 + 200 + 202 + 221 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 202120020222093 and 202120020222102.
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 287 ways as a sum of consecutive naturals, for example, 345292809 + ... + 345877671.
It is an arithmetic number, because the mean of its divisors is an integer number (784967175720).
Almost surely, 2202120020222120 is an apocalyptic number.
202120020222120 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 202120020222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452141093214720).
202120020222120 is an abundant number, since it is smaller than the sum of its proper divisors (702162166207320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202120020222120 is a wasteful number, since it uses less digits than its factorization.
202120020222120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 585055 (or 585041 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 202120020222120 its reverse (21222020021202), we get a palindrome (223342040243322).
The spelling of 202120020222120 in words is "two hundred two trillion, one hundred twenty billion, twenty million, two hundred twenty-two thousand, one hundred twenty".
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