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132411102120 = 2332511172385517
BaseRepresentation
bin111101101010001010…
…0010001001110101000
3110122202221211220221100
41323110110101032220
54132134220231440
6140455005241400
712365161540413
oct1732424211650
9418687756840
10132411102120
1151178684910
12217b4263260
13c64257988b
1465a17b8b7a
15369e87e230
hex1ed45113a8

132411102120 has 384 divisors, whose sum is σ = 518690615040. Its totient is φ = 28897566720.

The previous prime is 132411102119. The next prime is 132411102133. The reversal of 132411102120 is 21201114231.

132411102120 is a `hidden beast` number, since 1 + 32 + 411 + 10 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132411102093 and 132411102102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1505602 + ... + 1591118.

It is an arithmetic number, because the mean of its divisors is an integer number (1350756810).

Almost surely, 2132411102120 is an apocalyptic number.

132411102120 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 132411102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259345307520).

132411102120 is an abundant number, since it is smaller than the sum of its proper divisors (386279512920).

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

132411102120 is a wasteful number, since it uses less digits than its factorization.

132411102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85585 (or 85578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132411102120 its reverse (21201114231), we get a palindrome (153612216351).

The spelling of 132411102120 in words is "one hundred thirty-two billion, four hundred eleven million, one hundred two thousand, one hundred twenty".