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200101121000011 = 72111959331173169
BaseRepresentation
bin101101011111110110101100…
…001111001000001001001011
3222020111110222011122002202001
4231133312230033020021023
5202211424043434000021
61545325104055251431
760101554213531600
oct5537665417101113
9866443864562661
10200101121000011
11588384551a7340
121a538b30679b77
1387865bb0c292a
14375ad358cc6a7
15182015190c091
hexb5fdac3c824b

200101121000011 has 48 divisors (see below), whose sum is σ = 271826937936000. Its totient is φ = 145212810704640.

The previous prime is 200101121000009. The next prime is 200101121000047. The reversal of 200101121000011 is 110000121101002.

It is not a de Polignac number, because 200101121000011 - 21 = 200101121000009 is a prime.

It is a super-2 number, since 2×2001011210000112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200101121004011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164982366 + ... + 166190803.

It is an arithmetic number, because the mean of its divisors is an integer number (5663061207000).

Almost surely, 2200101121000011 is an apocalyptic number.

200101121000011 is a deficient number, since it is larger than the sum of its proper divisors (71725816935989).

200101121000011 is a wasteful number, since it uses less digits than its factorization.

200101121000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331173272 (or 331173265 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 200101121000011 its reverse (110000121101002), we get a palindrome (310101242101013).

The spelling of 200101121000011 in words is "two hundred trillion, one hundred one billion, one hundred twenty-one million, eleven", and thus it is an aban number.

Divisors: 1 7 11 19 49 59 77 133 209 413 539 649 931 1121 1463 2891 4543 7847 10241 12331 31801 54929 86317 604219 331173169 2318212183 3642904859 6292290211 16227485281 19539216971 25500334013 44046031477 69215192321 136774518797 178502338091 214931386681 308322220339 371245122449 484506346247 957421631579 1504519706767 2598715857143 3391544423729 4083696346939 10531637947369 18191011000001 28585874428573 200101121000011