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200001331211331 = 313179191149996761
BaseRepresentation
bin101101011110011001110000…
…010011010010110001000011
3222020010221101122112121012210
4231132121300103102301003
5202203310211242230311
61545211202041553203
760061422301400226
oct5536316023226103
9866127348477183
10200001331211331
11587aa0a7499101
121a5217211a5803
13877a0770042b0
14375618a74b5bd
15181c760d973a6
hexb5e6704d2c43

200001331211331 has 32 divisors (see below), whose sum is σ = 290297733304320. Its totient is φ = 121749370156800.

The previous prime is 200001331211303. The next prime is 200001331211443. The reversal of 200001331211331 is 133112133100002.

It is a happy number.

It is not a de Polignac number, because 200001331211331 - 219 = 200001330687043 is a prime.

It is a super-2 number, since 2×2000013312113312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200001331211298 and 200001331211307.

It is not an unprimeable number, because it can be changed into a prime (200001331211131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73665010 + ... + 76331751.

It is an arithmetic number, because the mean of its divisors is an integer number (9071804165760).

Almost surely, 2200001331211331 is an apocalyptic number.

200001331211331 is a deficient number, since it is larger than the sum of its proper divisors (90296402092989).

200001331211331 is a wasteful number, since it uses less digits than its factorization.

200001331211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149997147.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 200001331211331 its reverse (133112133100002), we get a palindrome (333113464311333).

The spelling of 200001331211331 in words is "two hundred trillion, one billion, three hundred thirty-one million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 13 39 179 191 537 573 2327 2483 6981 7449 34189 102567 444457 1333371 149996761 449990283 1949957893 5849873679 26849420219 28649381351 80548260657 85948144053 349042462847 372441957563 1047127388541 1117325872689 5128239261829 15384717785487 66667110403777 200001331211331