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100310540240 = 2451253881753
BaseRepresentation
bin101110101101011111…
…0010101111111010000
3100120220210222102101002
41131122332111333100
53120413444241430
6114025415001132
710150534344431
oct1353276257720
9316823872332
10100310540240
11395a5759629
12175359691a8
1395c7c5ac71
144bd83b9488
15292162b845
hex175af95fd0

100310540240 has 20 divisors (see below), whose sum is σ = 233222006244. Its totient is φ = 40124216064.

The previous prime is 100310540219. The next prime is 100310540243. The reversal of 100310540240 is 42045013001.

It can be written as a sum of positive squares in 2 ways, for example, as 22172401216 + 78138139024 = 148904^2 + 279532^2 .

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

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 (100310540243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626940797 + ... + 626940956.

Almost surely, 2100310540240 is an apocalyptic number.

100310540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100310540240 is an abundant number, since it is smaller than the sum of its proper divisors (132911466004).

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

100310540240 is a wasteful number, since it uses less digits than its factorization.

100310540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253881766 (or 1253881760 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 100310540240 its reverse (42045013001), we get a palindrome (142355553241).

The spelling of 100310540240 in words is "one hundred billion, three hundred ten million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1253881753 2507763506 5015527012 6269408765 10031054024 12538817530 20062108048 25077635060 50155270120 100310540240