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135212231340 = 22335250393021
BaseRepresentation
bin111110111101101000…
…1101110101010101100
3110221000011200000212000
41331323101232222230
54203403312400330
6142040551212300
712524454001044
oct1757321565254
9427004600760
10135212231340
115238586373a
1222256377090
13c99a9b0aa4
146789814724
1537b573d560
hex1f7b46eaac

135212231340 has 48 divisors (see below), whose sum is σ = 420660276960. Its totient is φ = 36056594880.

The previous prime is 135212231327. The next prime is 135212231369. The reversal of 135212231340 is 43132212531.

135212231340 is a `hidden beast` number, since 1 + 3 + 521 + 2 + 2 + 3 + 134 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 125195971 + ... + 125197050.

It is an arithmetic number, because the mean of its divisors is an integer number (8763755770).

Almost surely, 2135212231340 is an apocalyptic number.

135212231340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135212231340 is an abundant number, since it is smaller than the sum of its proper divisors (285448045620).

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

135212231340 is a wasteful number, since it uses less digits than its factorization.

135212231340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250393039 (or 250393031 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 135212231340 its reverse (43132212531), we get a palindrome (178344443871).

The spelling of 135212231340 in words is "one hundred thirty-five billion, two hundred twelve million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 250393021 500786042 751179063 1001572084 1251965105 1502358126 2253537189 2503930210 3004716252 3755895315 4507074378 5007860420 6760611567 7511790630 9014148756 11267685945 13521223134 15023581260 22535371890 27042446268 33803057835 45070743780 67606115670 135212231340