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12013003134 = 23311131263587
BaseRepresentation
bin10110011000000011…
…11110000101111110
31011000012120210022000
423030001332011332
5144100312100014
65304012203130
7603456561516
oct131401760576
934005523260
1012013003134
115105033070
1223b31694a6
131195a682a2
1481d644846
154a498d509
hex2cc07e17e

12013003134 has 128 divisors (see below), whose sum is σ = 29506498560. Its totient is φ = 3592648800.

The previous prime is 12013003133. The next prime is 12013003139. The reversal of 12013003134 is 43130031021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013003133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20464789 + ... + 20465375.

It is an arithmetic number, because the mean of its divisors is an integer number (230519520).

Almost surely, 212013003134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013003134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753249280).

12013003134 is an abundant number, since it is smaller than the sum of its proper divisors (17493495426).

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

12013003134 is a wasteful number, since it uses less digits than its factorization.

12013003134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

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

Adding to 12013003134 its reverse (43130031021), we get a palindrome (55143034155).

The spelling of 12013003134 in words is "twelve billion, thirteen million, three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 131 198 262 263 297 393 526 587 594 786 789 1174 1179 1441 1578 1761 2358 2367 2882 2893 3522 3537 4323 4734 5283 5786 6457 7074 7101 8646 8679 10566 12914 12969 14202 15849 17358 19371 25938 26037 31698 34453 38742 38907 52074 58113 68906 76897 77814 78111 103359 116226 153794 154381 156222 174339 206718 230691 308762 310077 348678 378983 461382 463143 620154 692073 757966 845867 926286 930231 1136949 1384146 1389429 1691734 1698191 1860462 2076219 2273898 2537601 2778858 3396382 3410847 4152438 4168287 5075202 5094573 6821694 7612803 8336574 10189146 10232541 15225606 15283719 20223911 20465082 22838409 30567438 40447822 45676818 45851157 60671733 91702314 121343466 182015199 222463021 364030398 444926042 546045597 667389063 1092091194 1334778126 2002167189 4004334378 6006501567 12013003134