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132123110 = 2572475737
BaseRepresentation
bin1111110000000…
…00100111100110
3100012121112211112
413320000213212
5232310414420
621035505022
73163012400
oct770004746
9305545745
10132123110
1168642059
12382b8172
13214acc72
1413793b70
15b8ec8c5
hex7e009e6

132123110 has 48 divisors (see below), whose sum is σ = 282585024. Its totient is φ = 44327808.

The previous prime is 132123091. The next prime is 132123113. The reversal of 132123110 is 11321231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20162 + ... + 25898.

It is an arithmetic number, because the mean of its divisors is an integer number (5887188).

Almost surely, 2132123110 is an apocalyptic number.

132123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132123110 is an abundant number, since it is smaller than the sum of its proper divisors (150461914).

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

132123110 is a wasteful number, since it uses less digits than its factorization.

132123110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 132123110 is about 11494.4817195035. The cubic root of 132123110 is about 509.3225787448.

Adding to 132123110 its reverse (11321231), we get a palindrome (143444341).

The spelling of 132123110 in words is "one hundred thirty-two million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 47 49 70 94 98 235 245 329 470 490 658 1645 2303 3290 4606 5737 11474 11515 23030 28685 40159 57370 80318 200795 269639 281113 401590 539278 562226 1348195 1405565 1887473 2696390 2811130 3774946 9437365 13212311 18874730 26424622 66061555 132123110