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103040002240 = 2657317320327
BaseRepresentation
bin101111111110110101…
…0011010100011000000
3100211222000221110100021
41133331222122203000
53142011220032430
6115200320503224
710305266365540
oct1377552324300
9324860843307
10103040002240
113a77643884a
1217b77a7ab14
13994158b836
144db6abb320
152a3108107a
hex17fda9a8c0

103040002240 has 224 divisors, whose sum is σ = 293441347584. Its totient is φ = 33718394880.

The previous prime is 103040002229. The next prime is 103040002243. The reversal of 103040002240 is 42200040301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103040002243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5058957 + ... + 5079283.

It is an arithmetic number, because the mean of its divisors is an integer number (1310006016).

Almost surely, 2103040002240 is an apocalyptic number.

103040002240 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 103040002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146720673792).

103040002240 is an abundant number, since it is smaller than the sum of its proper divisors (190401345344).

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

103040002240 is a wasteful number, since it uses less digits than its factorization.

103040002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20455 (or 20445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 103040002240 its reverse (42200040301), we get a palindrome (145240042541).

The spelling of 103040002240 in words is "one hundred three billion, forty million, two thousand, two hundred forty".