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201001201100007 = 3711732163282993
BaseRepresentation
bin101101101100111100111101…
…001100001110010011100111
3222100200112020022010200111220
4231230330331030032103213
5202321200424440200012
61551254402123431423
760223600066253040
oct5554747514162347
9870615208120456
10201001201100007
1159055148a26480
121a663467685573
138820441345789
14378c71d7a58c7
151838780eac08c
hexb6cf3d30e4e7

201001201100007 has 48 divisors (see below), whose sum is σ = 338771718367488. Its totient is φ = 102985848714240.

The previous prime is 201001201099981. The next prime is 201001201100023. The reversal of 201001201100007 is 700001102100102.

It is not a de Polignac number, because 201001201100007 - 231 = 200999053616359 is a prime.

It is a super-3 number, since 3×2010012011000073 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001201100407) 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, 80410498 + ... + 82872495.

It is an arithmetic number, because the mean of its divisors is an integer number (7057744132656).

Almost surely, 2201001201100007 is an apocalyptic number.

201001201100007 is a deficient number, since it is larger than the sum of its proper divisors (137770517267481).

201001201100007 is a wasteful number, since it uses less digits than its factorization.

201001201100007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163283160 (or 163283087 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 201001201100007 its reverse (700001102100102), we get a palindrome (901002303200109).

The spelling of 201001201100007 in words is "two hundred one trillion, one billion, two hundred one million, one hundred thousand, seven".

Divisors: 1 3 7 11 21 33 73 77 219 231 511 803 1533 2409 5329 5621 15987 16863 37303 58619 111909 175857 410333 1230999 163282993 489848979 1142980951 1796112923 3428942853 5388338769 11919658489 12572790461 35758975467 37718371383 83437609423 131116243379 250312828269 393348730137 870135069697 917813703653 2610405209091 2753441110959 6090945487879 9571485766667 18272836463637 28714457300001 67000400366669 201001201100007