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103331400 = 23352172219
BaseRepresentation
bin1100010100010…
…11011001001000
321012102210000220
412022023121020
5202423101100
614130430040
72363205504
oct612133110
9235383026
10103331400
1153367457
122a732320
131853bc53
14da1b304
159111aa0
hex628b648

103331400 has 48 divisors (see below), whose sum is σ = 320329200. Its totient is φ = 27554880.

The previous prime is 103331363. The next prime is 103331407. The reversal of 103331400 is 4133301.

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 103331400.

It is not an unprimeable number, because it can be changed into a prime (103331407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85510 + ... + 86709.

It is an arithmetic number, because the mean of its divisors is an integer number (6673525).

Almost surely, 2103331400 is an apocalyptic number.

103331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103331400 is an abundant number, since it is smaller than the sum of its proper divisors (216997800).

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

103331400 is a wasteful number, since it uses less digits than its factorization.

103331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172238 (or 172229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103331400 is about 10165.2053594603. The cubic root of 103331400 is about 469.2570122934.

Adding to 103331400 its reverse (4133301), we get a palindrome (107464701).

The spelling of 103331400 in words is "one hundred three million, three hundred thirty-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 172219 344438 516657 688876 861095 1033314 1377752 1722190 2066628 2583285 3444380 4133256 4305475 5166570 6888760 8610950 10333140 12916425 17221900 20666280 25832850 34443800 51665700 103331400