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132114100 = 22521321141
BaseRepresentation
bin1111101111111…
…10011010110100
3100012121002110211
413313332122310
5232310122400
621035355204
73162644206
oct767763264
9305532424
10132114100
1168636308
12382b2b04
13214a8b31
1413790776
15b8e9dba
hex7dfe6b4

132114100 has 18 divisors (see below), whose sum is σ = 286687814. Its totient is φ = 52845600.

The previous prime is 132114091. The next prime is 132114109. The reversal of 132114100 is 1411231.

It is an interprime number because it is at equal distance from previous prime (132114091) and next prime (132114109).

It can be written as a sum of positive squares in 3 ways, for example, as 599076 + 131515024 = 774^2 + 11468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114109) 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 5 ways as a sum of consecutive naturals, for example, 660471 + ... + 660670.

Almost surely, 2132114100 is an apocalyptic number.

132114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114100 is an abundant number, since it is smaller than the sum of its proper divisors (154573714).

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

132114100 is a wasteful number, since it uses less digits than its factorization.

132114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321155 (or 1321148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 132114100 is about 11494.0897856246. The cubic root of 132114100 is about 509.3110009046.

Adding to 132114100 its reverse (1411231), we get a palindrome (133525331).

The spelling of 132114100 in words is "one hundred thirty-two million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1321141 2642282 5284564 6605705 13211410 26422820 33028525 66057050 132114100