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2013220110033 = 33114110313112253
BaseRepresentation
bin11101010010111101010…
…001001111111011010001
321010110110202211000122000
4131102331101033323101
5230441033322010113
64140505513504213
7265310320404636
oct35227521177321
97113422730560
102013220110033
117068902a4160
12286213412069
13117acc4118a2
146d62455418d
153757d90c373
hex1d4bd44fed1

2013220110033 has 128 divisors (see below), whose sum is σ = 3391373905920. Its totient is φ = 1169722944000.

The previous prime is 2013220110017. The next prime is 2013220110049. The reversal of 2013220110033 is 3300110223102.

2013220110033 is a `hidden beast` number, since 201 + 322 + 0 + 110 + 0 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (2013220110017) and next prime (2013220110049).

It is not a de Polignac number, because 2013220110033 - 24 = 2013220110017 is a prime.

It is a super-2 number, since 2×20132201100332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013220109988 and 2013220110015.

It is not an unprimeable number, because it can be changed into a prime (2013220110053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164298135 + ... + 164310387.

It is an arithmetic number, because the mean of its divisors is an integer number (26495108640).

Almost surely, 22013220110033 is an apocalyptic number.

It is an amenable number.

2013220110033 is a deficient number, since it is larger than the sum of its proper divisors (1378153795887).

2013220110033 is a wasteful number, since it uses less digits than its factorization.

2013220110033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013220110033 its reverse (3300110223102), we get a palindrome (5313330333135).

The spelling of 2013220110033 in words is "two trillion, thirteen billion, two hundred twenty million, one hundred ten thousand, thirty-three".

Divisors: 1 3 9 11 27 33 41 99 103 123 131 297 309 369 393 451 927 1107 1133 1179 1353 1441 2781 3399 3537 4059 4223 4323 5371 10197 12177 12253 12669 12969 13493 16113 30591 36759 38007 38907 40479 46453 48339 59081 110277 114021 121437 134783 139359 145017 148423 177243 330831 364311 404349 418077 445269 502373 531729 553213 1213047 1254231 1262059 1335807 1507119 1595187 1605143 1659639 3639141 3786177 4007421 4521357 4815429 4978917 5526103 6085343 11358531 13564071 13882649 14446287 14936751 16578309 17656573 18256029 34075593 41647947 43338861 49734927 51744419 52969719 54768087 65810863 124943841 149204781 155233257 158909157 164304261 165329729 197432589 374831523 465699771 476727471 495989187 569188609 592297767 723919493 1397099313 1487967561 1707565827 1776893301 1818627019 2171758479 4463902683 5122697481 5455881057 6515275437 6778518889 15368092443 16367643171 19545826311 20335556667 49102929513 61006670001 74563707779 183020010003 223691123337 671073370011 2013220110033