Search a number
-
+
421301420100 = 22365211525379
BaseRepresentation
bin1100010000101111000…
…01011000000001000100
31111021110012221122000000
412020113201120001010
523400311130420400
6521313155321300
742303145661421
oct6102741300104
91437405848000
10421301420100
11152744739620
1269798bb0230
133096182a432
1416569258d48
15ae5ba35600
hex6217858044

421301420100 has 252 divisors, whose sum is σ = 1495321845360. Its totient is φ = 102133483200.

The previous prime is 421301419921. The next prime is 421301420123. The reversal of 421301420100 is 1024103124.

421301420100 is a `hidden beast` number, since 421 + 3 + 0 + 142 + 0 + 100 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 539211 + ... + 1064589.

Almost surely, 2421301420100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421301420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747660922680).

421301420100 is an abundant number, since it is smaller than the sum of its proper divisors (1074020425260).

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

421301420100 is a wasteful number, since it uses less digits than its factorization.

421301420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525422 (or 525400 counting only the distinct ones).

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

Adding to 421301420100 its reverse (1024103124), we get a palindrome (422325523224).

The spelling of 421301420100 in words is "four hundred twenty-one billion, three hundred one million, four hundred twenty thousand, one hundred".