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131122301112 = 2332111737263209
BaseRepresentation
bin111101000011101111…
…1111000100010111000
3110112110010202001022200
41322013133320202320
54122014302113422
6140123045550200
712321222112155
oct1720737704270
9415403661280
10131122301112
1150677136610
12214b4715360
13c49856312a
1464bc57122c
1536266522ac
hex1e877f88b8

131122301112 has 192 divisors, whose sum is σ = 421283397600. Its totient is φ = 36385873920.

The previous prime is 131122301033. The next prime is 131122301131. The reversal of 131122301112 is 211103221131.

131122301112 is a `hidden beast` number, since 131 + 122 + 301 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366564 + ... + 629772.

Almost surely, 2131122301112 is an apocalyptic number.

131122301112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131122301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210641698800).

131122301112 is an abundant number, since it is smaller than the sum of its proper divisors (290161096488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131122301112 is a wasteful number, since it uses less digits than its factorization.

131122301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263286 (or 263279 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131122301112 its reverse (211103221131), we get a palindrome (342225522243).

It can be divided in two parts, 131122 and 301112, that added together give a palindrome (432234).

The spelling of 131122301112 in words is "one hundred thirty-one billion, one hundred twenty-two million, three hundred one thousand, one hundred twelve".