Search a number
-
+
100005455000 = 23541119831153
BaseRepresentation
bin101110100100011001…
…0100010010010011000
3100120010112220111002202
41131020302202102120
53114302344030000
6113535235545332
710140141225203
oct1351062422230
9316115814082
10100005455000
1139459521570
121746b75b248
13957999c659
144ba9a8093a
152904965dd5
hex1748ca2498

100005455000 has 320 divisors, whose sum is σ = 272545257600. Its totient is φ = 34007040000.

The previous prime is 100005454979. The next prime is 100005455009. The reversal of 100005455000 is 554500001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005455009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86734424 + ... + 86735576.

It is an arithmetic number, because the mean of its divisors is an integer number (851703930).

Almost surely, 2100005455000 is an apocalyptic number.

100005455000 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 100005455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136272628800).

100005455000 is an abundant number, since it is smaller than the sum of its proper divisors (172539802600).

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

100005455000 is a wasteful number, since it uses less digits than its factorization.

100005455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 100005455000 its reverse (554500001), we get a palindrome (100559955001).

The spelling of 100005455000 in words is "one hundred billion, five million, four hundred fifty-five thousand".