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131132231100 = 223352134191121
BaseRepresentation
bin111101000100000010…
…1110000110110111100
3110112110211102112201000
41322020011300312330
54122024322343400
6140124042450300
712321402400443
oct1721005606674
9415424375630
10131132231100
11506817a9112
12214b7b03990
13c49a62bb70
1464bd9d7d5a
153627464600
hex1e88170dbc

131132231100 has 288 divisors, whose sum is σ = 465072108480. Its totient is φ = 31491072000.

The previous prime is 131132231099. The next prime is 131132231171. The reversal of 131132231100 is 1132231131.

131132231100 is a `hidden beast` number, since 1 + 31 + 1 + 322 + 311 + 0 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 1393540 + ... + 1484660.

It is an arithmetic number, because the mean of its divisors is an integer number (1614833710).

Almost surely, 2131132231100 is an apocalyptic number.

131132231100 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 131132231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232536054240).

131132231100 is an abundant number, since it is smaller than the sum of its proper divisors (333939877380).

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

131132231100 is a wasteful number, since it uses less digits than its factorization.

131132231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91198 (or 91185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131132231100 its reverse (1132231131), we get a palindrome (132264462231).

The spelling of 131132231100 in words is "one hundred thirty-one billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred".