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201120133331131 = 7672549168233651
BaseRepresentation
bin101101101110101011101110…
…000110101011100010111011
3222101002220012220010000110221
4231232223232012223202323
5202330123013113044011
61551425151434120511
760235310251452460
oct5556535606534273
9871086186100427
10201120133331131
11590a062a08aa83
121a682519880137
13882b716255831
1437943a2d9d667
15183b8e2346971
hexb6eaee1ab8bb

201120133331131 has 16 divisors (see below), whose sum is σ = 233373722054400. Its totient is φ = 169749098719200.

The previous prime is 201120133331113. The next prime is 201120133331149. The reversal of 201120133331131 is 131133331021102.

It is an interprime number because it is at equal distance from previous prime (201120133331113) and next prime (201120133331149).

It is not a de Polignac number, because 201120133331131 - 27 = 201120133331003 is a prime.

It is a super-2 number, since 2×2011201333311312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201120133331096 and 201120133331105.

It is not an unprimeable number, because it can be changed into a prime (201120133331191) 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 15 ways as a sum of consecutive naturals, for example, 82921345 + ... + 85312306.

It is an arithmetic number, because the mean of its divisors is an integer number (14585857628400).

Almost surely, 2201120133331131 is an apocalyptic number.

201120133331131 is a deficient number, since it is larger than the sum of its proper divisors (32253588723269).

201120133331131 is a wasteful number, since it uses less digits than its factorization.

201120133331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168236274.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 201120133331131 its reverse (131133331021102), we get a palindrome (332253464352233).

The spelling of 201120133331131 in words is "two hundred one trillion, one hundred twenty billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 67 469 2549 17843 170783 1195481 168233651 1177635557 11271654617 78901582319 428827576399 3001793034793 28731447618733 201120133331131