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132420134010 = 23571461134857
BaseRepresentation
bin111101101010011011…
…0101110010001111010
3110122210120211210100210
41323110312232101322
54132144023242020
6140455531011550
712365331365433
oct1732466562172
9418716753323
10132420134010
115118279368a
12217b7299bb6
13c6443bc8a8
1465a2a8a48a
1536a05653e0
hex1ed4dae47a

132420134010 has 64 divisors (see below), whose sum is σ = 322985988864. Its totient is φ = 34738905600.

The previous prime is 132420133997. The next prime is 132420134027. The reversal of 132420134010 is 10431024231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914502 + ... + 1049358.

It is an arithmetic number, because the mean of its divisors is an integer number (5046656076).

Almost surely, 2132420134010 is an apocalyptic number.

132420134010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132420134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161492994432).

132420134010 is an abundant number, since it is smaller than the sum of its proper divisors (190565854854).

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

132420134010 is a wasteful number, since it uses less digits than its factorization.

132420134010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135399.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132420134010 its reverse (10431024231), we get a palindrome (142851158241).

The spelling of 132420134010 in words is "one hundred thirty-two billion, four hundred twenty million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 461 710 922 1065 1383 2130 2305 2766 4610 6915 13830 32731 65462 98193 134857 163655 196386 269714 327310 404571 490965 674285 809142 981930 1348570 2022855 4045710 9574847 19149694 28724541 47874235 57449082 62169077 95748470 124338154 143622705 186507231 287245410 310845385 373014462 621690770 932536155 1865072310 4414004467 8828008934 13242013401 22070022335 26484026802 44140044670 66210067005 132420134010