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132401012420 = 2256620050621
BaseRepresentation
bin111101101001110110…
…1110001111011000100
3110122202020212022110202
41323103231301323010
54132124124344140
6140454005110032
712365010015365
oct1732355617304
9418666768422
10132401012420
1151172a13316
12217b09b8318
13c640456241
1465a030db6c
15369da39915
hex1ed3b71ec4

132401012420 has 12 divisors (see below), whose sum is σ = 278042126124. Its totient is φ = 52960404960.

The previous prime is 132401012407. The next prime is 132401012521. The reversal of 132401012420 is 24210104231.

It can be written as a sum of positive squares in 2 ways, for example, as 86638390336 + 45762622084 = 294344^2 + 213922^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6620050621 = 132401012420 / (1 + 3 + 2 + 4 + 0 + 1 + 0 + 1 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 132401012392 and 132401012401.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3310025291 + ... + 3310025330.

It is an arithmetic number, because the mean of its divisors is an integer number (23170177177).

Almost surely, 2132401012420 is an apocalyptic number.

132401012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132401012420 is an abundant number, since it is smaller than the sum of its proper divisors (145641113704).

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

132401012420 is a wasteful number, since it uses less digits than its factorization.

132401012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620050630 (or 6620050628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132401012420 its reverse (24210104231), we get a palindrome (156611116651).

The spelling of 132401012420 in words is "one hundred thirty-two billion, four hundred one million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6620050621 13240101242 26480202484 33100253105 66200506210 132401012420