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103143180 = 223572411019
BaseRepresentation
bin1100010010111…
…01011100001100
321012002012211210
412021131130030
5202401040210
614122414420
72361462660
oct611353414
9235065753
10103143180
1153248aa8
122a661410
13184a438a
14d9ac8a0
1590c5e20
hex625d70c

103143180 has 96 divisors (see below), whose sum is σ = 331752960. Its totient is φ = 23454720.

The previous prime is 103143163. The next prime is 103143181. The reversal of 103143180 is 81341301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (103143181) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 100711 + ... + 101729.

It is an arithmetic number, because the mean of its divisors is an integer number (3455760).

Almost surely, 2103143180 is an apocalyptic number.

103143180 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 103143180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

103143180 is an abundant number, since it is smaller than the sum of its proper divisors (228609780).

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

103143180 is a wasteful number, since it uses less digits than its factorization.

103143180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 103143180 is about 10155.9430876704. The cubic root of 103143180 is about 468.9719190986.

Adding to 103143180 its reverse (81341301), we get a palindrome (184484481).

The spelling of 103143180 in words is "one hundred three million, one hundred forty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 241 420 482 723 964 1019 1205 1446 1687 2038 2410 2892 3057 3374 3615 4076 4820 5061 5095 6114 6748 7133 7230 8435 10122 10190 12228 14266 14460 15285 16870 20244 20380 21399 25305 28532 30570 33740 35665 42798 50610 61140 71330 85596 101220 106995 142660 213990 245579 427980 491158 736737 982316 1227895 1473474 1719053 2455790 2946948 3438106 3683685 4911580 5157159 6876212 7367370 8595265 10314318 14734740 17190530 20628636 25785795 34381060 51571590 103143180