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103042300 = 22522371631
BaseRepresentation
bin1100010010001…
…00110011111100
321011220002110111
412021010303330
5202334323200
614120315404
72360562604
oct611046374
9234802414
10103042300
115318a229
122a612b64
131846a49a
14d983c04
1590a60ba
hex6244cfc

103042300 has 72 divisors (see below), whose sum is σ = 236984832. Its totient is φ = 38808000.

The previous prime is 103042297. The next prime is 103042343. The reversal of 103042300 is 3240301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162985 + ... + 163615.

It is an arithmetic number, because the mean of its divisors is an integer number (3291456).

Almost surely, 2103042300 is an apocalyptic number.

103042300 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 103042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492416).

103042300 is an abundant number, since it is smaller than the sum of its proper divisors (133942532).

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

103042300 is a wasteful number, since it uses less digits than its factorization.

103042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 103042300 is about 10150.9753225983. The cubic root of 103042300 is about 468.8189753314.

Adding to 103042300 its reverse (3240301), we get a palindrome (106282601).

The spelling of 103042300 in words is "one hundred three million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 142 230 284 355 460 575 631 710 1150 1262 1420 1633 1775 2300 2524 3155 3266 3550 6310 6532 7100 8165 12620 14513 15775 16330 29026 31550 32660 40825 44801 58052 63100 72565 81650 89602 145130 163300 179204 224005 290260 362825 448010 725650 896020 1030423 1120025 1451300 2060846 2240050 4121692 4480100 5152115 10304230 20608460 25760575 51521150 103042300