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12013122303 = 32713413471031
BaseRepresentation
bin10110011000000100…
…11011001011111111
31011000012210211202200
423030002123023333
5144100324403203
65304014522543
7603460566120
oct131402331377
934005724680
1012013122303
115105104656
1223b3206453
131195aaa5c0
1481d676047
154a49b39a3
hex2cc09b2ff

12013122303 has 96 divisors (see below), whose sum is σ = 21961884672. Its totient is φ = 6158246400.

The previous prime is 12013122299. The next prime is 12013122349. The reversal of 12013122303 is 30322131021.

12013122303 is a `hidden beast` number, since 120 + 1 + 312 + 230 + 3 = 666.

It is not a de Polignac number, because 12013122303 - 22 = 12013122299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013122353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11651398 + ... + 11652428.

It is an arithmetic number, because the mean of its divisors is an integer number (228769632).

Almost surely, 212013122303 is an apocalyptic number.

12013122303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12013122303 is a deficient number, since it is larger than the sum of its proper divisors (9948762369).

12013122303 is a wasteful number, since it uses less digits than its factorization.

12013122303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1442 counting only the distinct ones).

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

Adding to 12013122303 its reverse (30322131021), we get a palindrome (42335253324).

The spelling of 12013122303 in words is "twelve billion, thirteen million, one hundred twenty-two thousand, three hundred three".

Divisors: 1 3 7 9 13 21 39 41 63 91 117 123 273 287 347 369 533 819 861 1031 1041 1599 2429 2583 3093 3123 3731 4511 4797 7217 7287 9279 11193 13403 13533 14227 21651 21861 31577 33579 40209 40599 42271 42681 64953 93821 94731 99589 120627 126813 128043 184951 281463 284193 295897 298767 357757 380439 549523 554853 844389 887691 896301 1073271 1294657 1648569 1664559 2504299 2663073 3219813 3846661 3883971 4650841 4945707 7512897 11539983 11651913 13952523 14668037 22538691 32555887 34619949 41857569 44004111 97667661 102676259 132012333 190684481 293002983 308028777 572053443 924086331 1334791367 1716160329 4004374101 12013122303