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11301011331 = 343383228733
BaseRepresentation
bin10101000011001011…
…11011111110000011
31002011120211212011020
422201211323332003
5141121024330311
65105215520523
7550023003621
oct124145737603
932146755136
1011301011331
11487a143095
122234829143
1310b13ba86c
14792c68511
154621ecc06
hex2a197bf83

11301011331 has 16 divisors (see below), whose sum is σ = 15458758656. Its totient is φ = 7339552416.

The previous prime is 11301011299. The next prime is 11301011339. The reversal of 11301011331 is 13311010311.

It is not a de Polignac number, because 11301011331 - 25 = 11301011299 is a prime.

It is a super-3 number, since 3×113010113313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11301011331.

It is not an unprimeable number, because it can be changed into a prime (11301011339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64960 + ... + 163773.

It is an arithmetic number, because the mean of its divisors is an integer number (966172416).

Almost surely, 211301011331 is an apocalyptic number.

11301011331 is a deficient number, since it is larger than the sum of its proper divisors (4157747325).

11301011331 is a wasteful number, since it uses less digits than its factorization.

11301011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229162.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11301011331 its reverse (13311010311), we get a palindrome (24612021642).

The spelling of 11301011331 in words is "eleven billion, three hundred one million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 43 129 383 1149 16469 49407 228733 686199 9835519 29506557 87604739 262814217 3767003777 11301011331