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132000414100 = 22527431776587
BaseRepresentation
bin111101011101111010…
…1100111100110010100
3110121201100001210212221
41322323311213212110
54130314101222400
6140350134552124
712352044002302
oct1727365474624
9417640053787
10132000414100
1150a87879925
12216ba808644
13c5a8465509
146563031272
1536787a8c1a
hex1ebbd67994

132000414100 has 36 divisors (see below), whose sum is σ = 286826579424. Its totient is φ = 52729072480.

The previous prime is 132000414023. The next prime is 132000414101. The reversal of 132000414100 is 1414000231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000414101) 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, 813994 + ... + 962593.

It is an arithmetic number, because the mean of its divisors is an integer number (7967404984).

Almost surely, 2132000414100 is an apocalyptic number.

132000414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132000414100 is an abundant number, since it is smaller than the sum of its proper divisors (154826165324).

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

132000414100 is a wasteful number, since it uses less digits than its factorization.

132000414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777344 (or 1777337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132000414100 its reverse (1414000231), we get a palindrome (133414414331).

The spelling of 132000414100 in words is "one hundred thirty-two billion, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 743 1486 2972 3715 7430 14860 18575 37150 74300 1776587 3553174 7106348 8882935 17765870 35531740 44414675 88829350 177658700 1320004141 2640008282 5280016564 6600020705 13200041410 26400082820 33000103525 66000207050 132000414100