| Base | Representation |
|---|---|
| bin | 101101111101011001010110… |
| … | …100000000100010000111000 |
| 3 | 222111200112222000102201212200 |
| 4 | 231331121112200010100320 |
| 5 | 202443204200221143000 |
| 6 | 1553521443051310200 |
| 7 | 60401332422452202 |
| oct | 5575312640042070 |
| 9 | 874615860381780 |
| 10 | 202131202131000 |
| 11 | 594503a806505a |
| 12 | 1a80646a74b360 |
| 13 | 88a2b7678719c |
| 14 | 37cb2b94a5772 |
| 15 | 1857d6a6dc500 |
| hex | b7d656804438 |
202131202131000 has 768 divisors, whose sum is σ = 709854728094720. Its totient is φ = 51834816000000.
The previous prime is 202131202130981. The next prime is 202131202131011. The reversal of 202131202131000 is 131202131202.
202131202131000 is a `hidden beast` number, since 2 + 0 + 21 + 312 + 0 + 21 + 310 + 0 + 0 = 666.
It is a super-2 number, since 2×2021312021310002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20415226050 + ... + 20415235950.
It is an arithmetic number, because the mean of its divisors is an integer number (924290010540).
Almost surely, 2202131202131000 is an apocalyptic number.
202131202131000 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 202131202131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354927364047360).
202131202131000 is an abundant number, since it is smaller than the sum of its proper divisors (507723525963720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202131202131000 is a wasteful number, since it uses less digits than its factorization.
202131202131000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10673 (or 10656 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 202131202131000 its reverse (131202131202), we get a palindrome (202262404262202).
It can be divided in two parts, 202131202 and 131000, that added together give a palindrome (202262202).
The spelling of 202131202131000 in words is "two hundred two trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand".
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