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12131032113100 = 2252177135901243
BaseRepresentation
bin1011000010000111100111…
…0111000001111111001100
31120221201022111010010102101
42300201321313001333030
53042223323210104400
641444530315004444
72361303166416655
oct260417167017714
946851274103371
1012131032113100
11395781841086a
12143b0aa139724
1369cc4a366314
142dd20619452c
151608516aa56a
hexb0879dc1fcc

12131032113100 has 36 divisors (see below), whose sum is σ = 27872830259064. Its totient is φ = 4566976794880.

The previous prime is 12131032113097. The next prime is 12131032113103. The reversal of 12131032113100 is 131123013121.

It is an interprime number because it is at equal distance from previous prime (12131032113097) and next prime (12131032113103).

It is a super-2 number, since 2×121310321131002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12131032113103) 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 11 ways as a sum of consecutive naturals, for example, 3567948922 + ... + 3567952321.

It is an arithmetic number, because the mean of its divisors is an integer number (774245284974).

Almost surely, 212131032113100 is an apocalyptic number.

12131032113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131032113100 is an abundant number, since it is smaller than the sum of its proper divisors (15741798145964).

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

12131032113100 is a wasteful number, since it uses less digits than its factorization.

12131032113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135901274 (or 7135901267 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12131032113100 its reverse (131123013121), we get a palindrome (12262155126221).

The spelling of 12131032113100 in words is "twelve trillion, one hundred thirty-one billion, thirty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7135901243 14271802486 28543604972 35679506215 71359012430 121310321131 142718024860 178397531075 242620642262 356795062150 485241284524 606551605655 713590124300 1213103211310 2426206422620 3032758028275 6065516056550 12131032113100