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103130020 = 22577310091
BaseRepresentation
bin1100010010110…
…10001110100100
321012001112210101
412021122032210
5202400130040
614122233444
72361406420
oct611321644
9235045711
10103130020
115323a124
122a655884
131849b3a6
14d9a7b80
1590c209a
hex625a3a4

103130020 has 48 divisors (see below), whose sum is σ = 250927488. Its totient is φ = 34871040.

The previous prime is 103129993. The next prime is 103130021. The reversal of 103130020 is 20031301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 103129979 and 103130006.

It is not an unprimeable number, because it can be changed into a prime (103130021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5175 + ... + 15265.

It is an arithmetic number, because the mean of its divisors is an integer number (5227656).

Almost surely, 2103130020 is an apocalyptic number.

103130020 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 103130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125463744).

103130020 is an abundant number, since it is smaller than the sum of its proper divisors (147797468).

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

103130020 is a wasteful number, since it uses less digits than its factorization.

103130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 103130020 is about 10155.2951705010. The cubic root of 103130020 is about 468.9519729327.

Adding to 103130020 its reverse (20031301), we get a palindrome (123161321).

The spelling of 103130020 in words is "one hundred three million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10091 10220 20182 40364 50455 70637 100910 141274 201820 282548 353185 706370 736643 1412740 1473286 2946572 3683215 5156501 7366430 10313002 14732860 20626004 25782505 51565010 103130020