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132132210301332 = 2234694815869453
BaseRepresentation
bin11110000010110001101101…
…011101010101100110010100
3122022211201022220212022210000
4132002301231131111212110
5114304323231314120312
61145004411024331300
736555144230216223
oct3602615535254624
9568751286768700
10132132210301332
1139112a5704325a
12129a0135a73b30
1358960248bb497
14248b3398b6cba
1510420de48dadc
hex782c6d755994

132132210301332 has 60 divisors (see below), whose sum is σ = 345424728195316. Its totient is φ = 44043428695680.

The previous prime is 132132210301327. The next prime is 132132210301349. The reversal of 132132210301332 is 233103012231231.

132132210301332 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 2 + 21 + 0 + 301 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18696163096836 + 113436047204496 = 4323906^2 + 10650636^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 132132210301296 and 132132210301305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19577118 + ... + 25446570.

Almost surely, 2132132210301332 is an apocalyptic number.

132132210301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132132210301332 is an abundant number, since it is smaller than the sum of its proper divisors (213292517893984).

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

132132210301332 is a wasteful number, since it uses less digits than its factorization.

132132210301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938950 (or 5938939 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132132210301332 its reverse (233103012231231), we get a palindrome (365235222532563).

The spelling of 132132210301332 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, two hundred ten million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 69481 138962 208443 277924 416886 625329 833772 1250658 1875987 2501316 3751974 5627961 5869453 7503948 11255922 11738906 17608359 22511844 23477812 35216718 52825077 70433436 105650154 158475231 211300308 316950462 475425693 633900924 950851386 1901702772 407815463893 815630927786 1223446391679 1631261855572 2446892783358 3670339175037 4893785566716 7340678350074 11011017525111 14681356700148 22022035050222 33033052575333 44044070100444 66066105150666 132132210301332