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2013136620 = 22351110093023
BaseRepresentation
bin111011111111110…
…0000011011101100
312012022001221021120
41313333200123230
513110330332440
6531432300540
7100613243655
oct16777403354
95168057246
102013136620
119433aa380
12482241750
132610c6801
1415151852c
15bbb09dd0
hex77fe06ec

2013136620 has 96 divisors (see below), whose sum is σ = 6157347840. Its totient is φ = 487388160.

The previous prime is 2013136607. The next prime is 2013136637. The reversal of 2013136620 is 266313102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664429 + ... + 667451.

It is an arithmetic number, because the mean of its divisors is an integer number (64139040).

Almost surely, 22013136620 is an apocalyptic number.

2013136620 is a gapful number since it is divisible by the number (20) 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 2013136620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078673920).

2013136620 is an abundant number, since it is smaller than the sum of its proper divisors (4144211220).

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

2013136620 is a wasteful number, since it uses less digits than its factorization.

2013136620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2013136620 is about 44867.9910403842. The cubic root of 2013136620 is about 1262.6735495824.

Adding to 2013136620 its reverse (266313102), we get a palindrome (2279449722).

The spelling of 2013136620 in words is "two billion, thirteen million, one hundred thirty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1009 2018 3023 3027 4036 5045 6046 6054 9069 10090 11099 12092 12108 15115 15135 18138 20180 22198 30230 30270 33253 33297 36276 44396 45345 55495 60460 60540 66506 66594 90690 99759 110990 133012 133188 166265 166485 181380 199518 221980 332530 332970 399036 498795 665060 665940 997590 1995180 3050207 6100414 9150621 12200828 15251035 18301242 30502070 33552277 36602484 45753105 61004140 67104554 91506210 100656831 134209108 167761385 183012420 201313662 335522770 402627324 503284155 671045540 1006568310 2013136620