Search a number
-
+
10420150305400 = 23521137316377757
BaseRepresentation
bin1001011110100010000101…
…0110111000001001111000
31100220011020012011012022121
42113220201112320021320
52331210431434233100
634054541224131024
72123555016123343
oct227504126701170
940804205135277
1010420150305400
113358185216080
1212035b3306a74
135a78013493a4
142804a354145a
151310ba89751a
hex97a215b8278

10420150305400 has 192 divisors, whose sum is σ = 26519752939680. Its totient is φ = 3776191641600.

The previous prime is 10420150305391. The next prime is 10420150305403. The reversal of 10420150305400 is 450305102401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420150305403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343318322 + ... + 1343326078.

Almost surely, 210420150305400 is an apocalyptic number.

10420150305400 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 10420150305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259876469840).

10420150305400 is an abundant number, since it is smaller than the sum of its proper divisors (16099602634280).

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

10420150305400 is a wasteful number, since it uses less digits than its factorization.

10420150305400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10420150305400 its reverse (450305102401), we get a palindrome (10870455407801).

The spelling of 10420150305400 in words is "ten trillion, four hundred twenty billion, one hundred fifty million, three hundred five thousand, four hundred".