Search a number
-
+
103071507400 = 235243131191479
BaseRepresentation
bin101111111111110001…
…0100110001111001000
3100212001020020002022001
41133333202212033020
53142042301214100
6115203404040344
710306131233401
oct1377742461710
9325036202261
10103071507400
113a7921a7074
1217b865330b4
139947c6c944
144dbad5c9a8
152a33c05d6a
hex17ff8a63c8

103071507400 has 192 divisors, whose sum is σ = 248898355200. Its totient is φ = 39670176000.

The previous prime is 103071507397. The next prime is 103071507403. The reversal of 103071507400 is 4705170301.

It is an interprime number because it is at equal distance from previous prime (103071507397) and next prime (103071507403).

It is a super-3 number, since 3×1030715074003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103071507403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215180361 + ... + 215180839.

It is an arithmetic number, because the mean of its divisors is an integer number (1296345600).

Almost surely, 2103071507400 is an apocalyptic number.

103071507400 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 103071507400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449177600).

103071507400 is an abundant number, since it is smaller than the sum of its proper divisors (145826847800).

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

103071507400 is a wasteful number, since it uses less digits than its factorization.

103071507400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 103071507400 its reverse (4705170301), we get a palindrome (107776677701).

The spelling of 103071507400 in words is "one hundred three billion, seventy-one million, five hundred seven thousand, four hundred".