Search a number
-
+
100234540240 = 2451252931753
BaseRepresentation
bin101110101011001110…
…0011011010011010000
3100120201111222012222021
41131112130123103100
53120240020241430
6114014102021224
710145622351202
oct1352634332320
9316644865867
10100234540240
113956686a70a
1217514417814
1395b529b453
144bcc274772
152919b1807a
hex175671b4d0

100234540240 has 20 divisors (see below), whose sum is σ = 233045306244. Its totient is φ = 40093816064.

The previous prime is 100234540187. The next prime is 100234540297. The reversal of 100234540240 is 42045432001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76859799696 + 23374740544 = 277236^2 + 152888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626465797 + ... + 626465956.

Almost surely, 2100234540240 is an apocalyptic number.

100234540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100234540240 is an abundant number, since it is smaller than the sum of its proper divisors (132810766004).

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

100234540240 is a wasteful number, since it uses less digits than its factorization.

100234540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252931766 (or 1252931760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 100234540240 its reverse (42045432001), we get a palindrome (142279972241).

The spelling of 100234540240 in words is "one hundred billion, two hundred thirty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1252931753 2505863506 5011727012 6264658765 10023454024 12529317530 20046908048 25058635060 50117270120 100234540240