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132122002032 = 24322207415729
BaseRepresentation
bin111101100001100010…
…1011100001001110000
3110122000210212010011200
41323003011130021300
54131041213031112
6140410201011200
712355051326126
oct1730305341160
9418023763150
10132122002032
115103a475719
1221733483b00
13c5c76c7137
146575241916
1536842c4cdc
hex1ec315c270

132122002032 has 60 divisors (see below), whose sum is σ = 369926531520. Its totient is φ = 44020606464.

The previous prime is 132122002021. The next prime is 132122002063. The reversal of 132122002032 is 230200221231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132122001996 and 132122002014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109944 + ... + 525672.

It is an arithmetic number, because the mean of its divisors is an integer number (6165442192).

Almost surely, 2132122002032 is an apocalyptic number.

132122002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132122002032 is an abundant number, since it is smaller than the sum of its proper divisors (237804529488).

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

132122002032 is a wasteful number, since it uses less digits than its factorization.

132122002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417950 (or 417941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132122002032 its reverse (230200221231), we get a palindrome (362322223263).

The spelling of 132122002032 in words is "one hundred thirty-two billion, one hundred twenty-two million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2207 4414 6621 8828 13242 17656 19863 26484 35312 39726 52968 79452 105936 158904 317808 415729 831458 1247187 1662916 2494374 3325832 3741561 4988748 6651664 7483122 9977496 14966244 19954992 29932488 59864976 917513903 1835027806 2752541709 3670055612 5505083418 7340111224 8257625127 11010166836 14680222448 16515250254 22020333672 33030500508 44040667344 66061001016 132122002032