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103132020 = 22351718867
BaseRepresentation
bin1100010010110…
…10101101110100
321012001122112110
412021122231310
5202400211040
614122251020
72361415305
oct611325564
9235048473
10103132020
1153240682
122a656a70
131849c284
14d9a87ac
1590c2980
hex625ab74

103132020 has 24 divisors (see below), whose sum is σ = 288769824. Its totient is φ = 27501856.

The previous prime is 103131997. The next prime is 103132021. The reversal of 103132020 is 20231301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103131987 and 103132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859374 + ... + 859493.

It is an arithmetic number, because the mean of its divisors is an integer number (12032076).

Almost surely, 2103132020 is an apocalyptic number.

103132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132020 is an abundant number, since it is smaller than the sum of its proper divisors (185637804).

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

103132020 is a wasteful number, since it uses less digits than its factorization.

103132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718879 (or 1718877 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103132020 is about 10155.3936408196. The cubic root of 103132020 is about 468.9550043742.

Adding to 103132020 its reverse (20231301), we get a palindrome (123363321).

The spelling of 103132020 in words is "one hundred three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1718867 3437734 5156601 6875468 8594335 10313202 17188670 20626404 25783005 34377340 51566010 103132020