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103381500 = 22353413
BaseRepresentation
bin1100010100101…
…11100111111100
321012112022202110
412022113213330
5202431202000
614131454020
72363504535
oct612274774
9235468673
10103381500
11533a1062
122a757310
13185589b1
14da3168c
159121850
hex62979fc

103381500 has 96 divisors (see below), whose sum is σ = 308572992. Its totient is φ = 26896000.

The previous prime is 103381493. The next prime is 103381501. The reversal of 103381500 is 5183301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103381501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2521480 + ... + 2521520.

It is an arithmetic number, because the mean of its divisors is an integer number (3214302).

Almost surely, 2103381500 is an apocalyptic number.

103381500 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 103381500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154286496).

103381500 is an abundant number, since it is smaller than the sum of its proper divisors (205191492).

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

103381500 is an frugal number, since it uses more digits than its factorization.

103381500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 103381500 is about 10167.6693494625. The cubic root of 103381500 is about 469.3328394469.

The spelling of 103381500 in words is "one hundred three million, three hundred eighty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 750 820 1025 1230 1500 1681 2050 2460 3075 3362 4100 5043 5125 6150 6724 8405 10086 10250 12300 15375 16810 20172 20500 25215 30750 33620 42025 50430 61500 68921 84050 100860 126075 137842 168100 206763 210125 252150 275684 344605 413526 420250 504300 630375 689210 827052 840500 1033815 1260750 1378420 1723025 2067630 2521500 3446050 4135260 5169075 6892100 8615125 10338150 17230250 20676300 25845375 34460500 51690750 103381500