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2011201001131 = 71733135101373
BaseRepresentation
bin11101010001000100111…
…010111101011010101011
321010021021001111122220211
4131101010322331122223
5230422414424014011
64135533305201551
7265206302305030
oct35210472753253
97107231448824
102011201001131
11705a44595813
1228594b1902b7
1311786a0068aa
146d4b2323387
15374b1522b21
hex1d444ebd6ab

2011201001131 has 16 divisors (see below), whose sum is σ = 2434457294784. Its totient is φ = 1621991430144.

The previous prime is 2011201001107. The next prime is 2011201001179. The reversal of 2011201001131 is 1311001021102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2011201001131 - 29 = 2011201000619 is a prime.

It is a super-2 number, since 2×20112010011312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011201001731) 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 15 ways as a sum of consecutive naturals, for example, 2156440 + ... + 2944933.

It is an arithmetic number, because the mean of its divisors is an integer number (152153580924).

Almost surely, 22011201001131 is an apocalyptic number.

2011201001131 is a deficient number, since it is larger than the sum of its proper divisors (423256293653).

2011201001131 is a wasteful number, since it uses less digits than its factorization.

2011201001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104710.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2011201001131 its reverse (1311001021102), we get a palindrome (3322202022233).

The spelling of 2011201001131 in words is "two trillion, eleven billion, two hundred one million, one thousand, one hundred thirty-one".

Divisors: 1 7 17 119 3313 23191 56321 394247 5101373 35709611 86723341 607063387 16900848749 118305941243 287314428733 2011201001131