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11322113131201 = 413547300323
BaseRepresentation
bin1010010011000010001010…
…0010000000001011000001
31111002101100112100011100211
42210300202202000023001
52441000141430144301
640025150145514121
72245665342500155
oct244604242001301
944071315304324
1011322113131201
113675754771a54
12132a374942941
13641894665282
142b1dc94a7065
151497aa392051
hexa4c228802c1

11322113131201 has 16 divisors (see below), whose sum is σ = 11626416583488. Its totient is φ = 11025733598880.

The previous prime is 11322113131171. The next prime is 11322113131213. The reversal of 11322113131201 is 10213131122311.

It is not a de Polignac number, because 11322113131201 - 219 = 11322112606913 is a prime.

It is a super-2 number, since 2×113221131312012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11322113161201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37549626 + ... + 37849948.

It is an arithmetic number, because the mean of its divisors is an integer number (726651036468).

Almost surely, 211322113131201 is an apocalyptic number.

It is an amenable number.

11322113131201 is a deficient number, since it is larger than the sum of its proper divisors (304303452287).

11322113131201 is an frugal number, since it uses more digits than its factorization.

11322113131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300993 (or 300911 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11322113131201 its reverse (10213131122311), we get a palindrome (21535244253512).

The spelling of 11322113131201 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 41 547 1681 22427 68921 300323 919507 12313243 37699787 164276681 504842963 6735343921 20698561483 276149100761 11322113131201