Search a number
-
+
103040323400 = 23527293181869
BaseRepresentation
bin101111111110110101…
…1101000111101001000
3100211222001112202220002
41133331223220331020
53142011310322100
6115200331422132
710305302204060
oct1377553507510
9324861482802
10103040323400
113a776638073
1217b77bb4948
139941671a81
144db6b623a0
152a310e62d5
hex17fdae8f48

103040323400 has 192 divisors, whose sum is σ = 292374144000. Its totient is φ = 33009177600.

The previous prime is 103040323391. The next prime is 103040323453. The reversal of 103040323400 is 4323040301.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1217666 + ... + 1299534.

It is an arithmetic number, because the mean of its divisors is an integer number (1522782000).

Almost surely, 2103040323400 is an apocalyptic number.

103040323400 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 103040323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146187072000).

103040323400 is an abundant number, since it is smaller than the sum of its proper divisors (189333820600).

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

103040323400 is a wasteful number, since it uses less digits than its factorization.

103040323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81952 (or 81943 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 103040323400 its reverse (4323040301), we get a palindrome (107363363701).

The spelling of 103040323400 in words is "one hundred three billion, forty million, three hundred twenty-three thousand, four hundred".