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2013011220 = 22351129105173
BaseRepresentation
bin111011111111100…
…0001110100010100
312012021211120021010
41313333001310110
513110312324340
6531425452220
7100612212243
oct16777016424
95167746233
102013011220
11943324140
124821a1070
132610816cc
141514c495a
15bbad2b80
hex77fc1d14

2013011220 has 96 divisors (see below), whose sum is σ = 6360923520. Its totient is φ = 471170560.

The previous prime is 2013011213. The next prime is 2013011227. The reversal of 2013011220 is 221103102.

It is an interprime number because it is at equal distance from previous prime (2013011213) and next prime (2013011227).

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 = 2013011196 and 2013011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013011227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33447 + ... + 71726.

It is an arithmetic number, because the mean of its divisors is an integer number (66259620).

Almost surely, 22013011220 is an apocalyptic number.

2013011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013011220 is an abundant number, since it is smaller than the sum of its proper divisors (4347912300).

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

2013011220 is a wasteful number, since it uses less digits than its factorization.

2013011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105225 (or 105223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2013011220 is about 44866.5935858741. The cubic root of 2013011220 is about 1262.6473313666.

Adding to 2013011220 its reverse (221103102), we get a palindrome (2234114322).

The spelling of 2013011220 in words is "two billion, thirteen million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 105173 210346 315519 420692 525865 631038 1051730 1156903 1262076 1577595 2103460 2313806 3050017 3155190 3470709 4627612 5784515 6100034 6310380 6941418 9150051 11569030 12200068 13882836 15250085 17353545 18300102 23138060 30500170 33550187 34707090 36600204 45750255 61000340 67100374 69414180 91500510 100650561 134200748 167750935 183001020 201301122 335501870 402602244 503252805 671003740 1006505610 2013011220