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201333552201131 = 72315736457218479
BaseRepresentation
bin101101110001110010011110…
…110111000011110110101011
3222101212022002102100221001112
4231301302132313003312223
5202342122103330414011
61552111205041140535
760256604053100450
oct5561623667036653
9871768072327045
10201333552201131
115917309750a889
121a6b795b32a74b
138845898663c6c
1437a084b2c3827
1518422338ac58b
hexb71c9edc3dab

201333552201131 has 32 divisors (see below), whose sum is σ = 241636670730240. Its totient is φ = 164011861069056.

The previous prime is 201333552201107. The next prime is 201333552201161. The reversal of 201333552201131 is 131102255333102.

It is a de Polignac number, because none of the positive numbers 2k-201333552201131 is a prime.

It is a super-2 number, since 2×2013335522011312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201333552201161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921414350 + ... + 921632828.

It is an arithmetic number, because the mean of its divisors is an integer number (7551145960320).

Almost surely, 2201333552201131 is an apocalyptic number.

201333552201131 is a deficient number, since it is larger than the sum of its proper divisors (40303118529109).

201333552201131 is a wasteful number, since it uses less digits than its factorization.

201333552201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255123.

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 201333552201131 in words is "two hundred one trillion, three hundred thirty-three billion, five hundred fifty-two million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 7 23 157 161 1099 3611 25277 36457 218479 255199 838511 1529353 5025017 5723749 5869577 34301203 35175119 40066243 131646227 240108421 788927669 921523589 5522493683 7965088903 55755622321 183197044769 1250518957771 1282379313383 8753632704397 28761936028733 201333552201131