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103141350 = 2355213653
BaseRepresentation
bin1100010010111…
…00111111100110
321012002010100000
412021130333212
5202401010400
614122402130
72361454434
oct611347746
9235063300
10103141350
1153247694
122a660346
13184a35b0
14d9abd54
1590c5600
hex625cfe6

103141350 has 144 divisors (see below), whose sum is σ = 309948912. Its totient is φ = 25349760.

The previous prime is 103141343. The next prime is 103141351. The reversal of 103141350 is 53141301.

103141350 = T2860 + T2861 + ... + T2884.

103141350 is a `hidden beast` number, since 1 + 0 + 314 + 1 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157624 + ... + 158276.

It is an arithmetic number, because the mean of its divisors is an integer number (2152423).

Almost surely, 2103141350 is an apocalyptic number.

103141350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103141350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154974456).

103141350 is an abundant number, since it is smaller than the sum of its proper divisors (206807562).

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

103141350 is a wasteful number, since it uses less digits than its factorization.

103141350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103141350 is about 10155.8529922405. The cubic root of 103141350 is about 468.9691455312.

Adding to 103141350 its reverse (53141301), we get a palindrome (156282651).

It can be divided in two parts, 10314 and 1350, that added together give a square (11664 = 1082).

The spelling of 103141350 in words is "one hundred three million, one hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 243 270 325 351 390 405 450 486 585 650 653 675 702 810 975 1053 1170 1215 1306 1350 1755 1950 1959 2025 2106 2430 2925 3159 3265 3510 3918 4050 5265 5850 5877 6075 6318 6530 8489 8775 9795 10530 11754 12150 15795 16325 16978 17550 17631 19590 25467 26325 29385 31590 32650 35262 42445 48975 50934 52650 52893 58770 76401 78975 84890 88155 97950 105786 127335 146925 152802 157950 158679 176310 212225 229203 254670 264465 293850 317358 382005 424450 440775 458406 528930 636675 687609 764010 793395 881550 1146015 1273350 1322325 1375218 1586790 1910025 2062827 2292030 2644650 3438045 3820050 3966975 4125654 5730075 6876090 7933950 10314135 11460150 17190225 20628270 34380450 51570675 103141350