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132022101400020 = 223451339671580251
BaseRepresentation
bin11110000001001011001010…
…011101001101100111010100
3122022110012010020112120220000
4132001023022131031213110
5114301022230424300040
61144442041024411300
736544165514051226
oct3601131235154724
9568405106476800
10132022101400020
1139080293481a67
1212982926776b30
135888827982340
142485c92066416
15103e2e7a34130
hex7812ca74d9d4

132022101400020 has 240 divisors, whose sum is σ = 446129260566528. Its totient is φ = 32489535456000.

The previous prime is 132022101400009. The next prime is 132022101400039. The reversal of 132022101400020 is 20004101220231.

It is a happy number.

132022101400020 is a `hidden beast` number, since 1 + 3 + 20 + 221 + 0 + 1 + 400 + 0 + 20 = 666.

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 = 132022101399966 and 132022101400002.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 82754895 + ... + 84335145.

Almost surely, 2132022101400020 is an apocalyptic number.

132022101400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132022101400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223064630283264).

132022101400020 is an abundant number, since it is smaller than the sum of its proper divisors (314107159166508).

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

132022101400020 is a wasteful number, since it uses less digits than its factorization.

132022101400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584252 (or 1584241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132022101400020 its reverse (20004101220231), we get a palindrome (152026202620251).

The spelling of 132022101400020 in words is "one hundred thirty-two trillion, twenty-two billion, one hundred one million, four hundred thousand, twenty".