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132420400332 = 223112573903443
BaseRepresentation
bin111101101010011011…
…1101111010011001100
3110122210121100022200120
41323110313233103030
54132144110302312
6140455540424540
712365333555043
oct1732467572314
9418717308616
10132420400332
1151182955790
12217b73a8150
13c644483b8c
1465a2b1955a
1536a05b928c
hex1ed4def4cc

132420400332 has 48 divisors (see below), whose sum is σ = 338381753472. Its totient is φ = 39971246080.

The previous prime is 132420400309. The next prime is 132420400337. The reversal of 132420400332 is 233004024231.

132420400332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132420400337) by changing a digit.

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, 1917798 + ... + 1985645.

It is an arithmetic number, because the mean of its divisors is an integer number (7049619864).

Almost surely, 2132420400332 is an apocalyptic number.

132420400332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132420400332 is an abundant number, since it is smaller than the sum of its proper divisors (205961353140).

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

132420400332 is a wasteful number, since it uses less digits than its factorization.

132420400332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903718 (or 3903716 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132420400332 its reverse (233004024231), we get a palindrome (365424424563).

The spelling of 132420400332 in words is "one hundred thirty-two billion, four hundred twenty million, four hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 514 771 1028 1542 2827 3084 5654 8481 11308 16962 33924 3903443 7806886 11710329 15613772 23420658 42937873 46841316 85875746 128813619 171751492 257627238 515254476 1003184851 2006369702 3009554553 4012739404 6019109106 11035033361 12038218212 22070066722 33105100083 44140133444 66210200166 132420400332