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103020041400 = 23352171700069
BaseRepresentation
bin101111111110001111…
…0010001010010111000
3100211220122101100012220
41133330132101102320
53141441112311100
6115154325004040
710304634621633
oct1377436212270
9324818340186
10103020041400
113a766144991
1217b71253620
13993a3c01a3
144db41a2c1a
152a2e43baa0
hex17fc7914b8

103020041400 has 48 divisors (see below), whose sum is σ = 319362130200. Its totient is φ = 27472010880.

The previous prime is 103020041393. The next prime is 103020041401. The reversal of 103020041400 is 4140020301.

103020041400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030200414002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103020041400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020041401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85849435 + ... + 85850634.

Almost surely, 2103020041400 is an apocalyptic number.

103020041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103020041400 is an abundant number, since it is smaller than the sum of its proper divisors (216342088800).

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

103020041400 is a wasteful number, since it uses less digits than its factorization.

103020041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171700088 (or 171700079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103020041400 its reverse (4140020301), we get a palindrome (107160061701).

The spelling of 103020041400 in words is "one hundred three billion, twenty million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 171700069 343400138 515100207 686800276 858500345 1030200414 1373600552 1717000690 2060400828 2575501035 3434001380 4120801656 4292501725 5151002070 6868002760 8585003450 10302004140 12877505175 17170006900 20604008280 25755010350 34340013800 51510020700 103020041400