Search a number
-
+
101454500000 = 25567241101
BaseRepresentation
bin101111001111100101…
…0001101000010100000
3100200212112112121011002
41132133022031002200
53130234323000000
6114335122011132
710221065010200
oct1363712150240
9320775477132
10101454500000
113a032469517
12177b4aa6aa8
13974ac60929
144ca62bc400
15298bc978d5
hex179f28d0a0

101454500000 has 504 divisors, whose sum is σ = 300461857164. Its totient is φ = 33600000000.

The previous prime is 101454499987. The next prime is 101454500027. The reversal of 101454500000 is 5454101.

It can be written as a sum of positive squares in 14 ways, for example, as 88140109456 + 13314390544 = 296884^2 + 115388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1004499950 + ... + 1004500050.

Almost surely, 2101454500000 is an apocalyptic number.

101454500000 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 101454500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150230928582).

101454500000 is an abundant number, since it is smaller than the sum of its proper divisors (199007357164).

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

101454500000 is an frugal number, since it uses more digits than its factorization.

101454500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 101454500000 its reverse (5454101), we get a palindrome (101459954101).

The spelling of 101454500000 in words is "one hundred one billion, four hundred fifty-four million, five hundred thousand".