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131155021140 = 2235111359972671
BaseRepresentation
bin111101000100101110…
…0101100110101010100
3110112112102022101202120
41322021130230311110
54122101141134030
6140130215135540
712322100166633
oct1721134546524
9415472271676
10131155021140
1150693654660
12215036745b0
13c4a227b1b0
1464c2a4b51a
153629467010
hex1e8972cd54

131155021140 has 384 divisors, whose sum is σ = 443437424640. Its totient is φ = 28543795200.

The previous prime is 131155021111. The next prime is 131155021141. The reversal of 131155021140 is 41120551131.

It is a self number, because there is not a number n which added to its sum of digits gives 131155021140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131155021141) 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 127 ways as a sum of consecutive naturals, for example, 49102005 + ... + 49104675.

It is an arithmetic number, because the mean of its divisors is an integer number (1154784960).

Almost surely, 2131155021140 is an apocalyptic number.

131155021140 is a gapful number since it is divisible by the number (10) 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 131155021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221718712320).

131155021140 is an abundant number, since it is smaller than the sum of its proper divisors (312282403500).

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

131155021140 is a wasteful number, since it uses less digits than its factorization.

131155021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 131155021140 its reverse (41120551131), we get a palindrome (172275572271).

The spelling of 131155021140 in words is "one hundred thirty-one billion, one hundred fifty-five million, twenty-one thousand, one hundred forty".