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2013011020 = 225538872141
BaseRepresentation
bin111011111111100…
…0001110001001100
312012021211112222201
41313333001301030
513110312323040
6531425451244
7100612211536
oct16777016114
95167745881
102013011020
11943323a79
124821a0b24
132610815a7
141514c4856
15bbad2a9a
hex77fc1c4c

2013011020 has 48 divisors (see below), whose sum is σ = 4313953728. Its totient is φ = 788752640.

The previous prime is 2013011003. The next prime is 2013011051. The reversal of 2013011020 is 201103102.

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 = 2013010988 and 2013011006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939150 + ... + 941290.

It is an arithmetic number, because the mean of its divisors is an integer number (89874036).

Almost surely, 22013011020 is an apocalyptic number.

2013011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013011020 is an abundant number, since it is smaller than the sum of its proper divisors (2300942708).

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

2013011020 is a wasteful number, since it uses less digits than its factorization.

2013011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2013011020 is about 44866.5913570443. The cubic root of 2013011020 is about 1262.6472895504.

Adding to 2013011020 its reverse (201103102), we get a palindrome (2214114122).

The spelling of 2013011020 in words is "two billion, thirteen million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 887 1060 1774 2141 3548 4282 4435 8564 8870 10705 17740 21410 42820 47011 94022 113473 188044 226946 235055 453892 470110 567365 940220 1134730 1899067 2269460 3798134 7596268 9495335 18990670 37981340 100650551 201301102 402602204 503252755 1006505510 2013011020