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12133333410 = 23511374721143
BaseRepresentation
bin10110100110011001…
…11111100110100010
31011022121000012101220
423103030333212202
5144322113132120
65323551235510
7606450426612
oct132314774642
934277005356
1012133333410
115166a4aa80
122427518b96
1311b4979633
14831608a42
154b030bb40
hex2d333f9a2

12133333410 has 128 divisors (see below), whose sum is σ = 33321590784. Its totient is φ = 2800892160.

The previous prime is 12133333409. The next prime is 12133333411. The reversal of 12133333410 is 1433333121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12133333409) and next prime (12133333411).

It is not an unprimeable number, because it can be changed into a prime (12133333411) 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 63 ways as a sum of consecutive naturals, for example, 563299 + ... + 584441.

It is an arithmetic number, because the mean of its divisors is an integer number (260324928).

Almost surely, 212133333410 is an apocalyptic number.

12133333410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133333410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660795392).

12133333410 is an abundant number, since it is smaller than the sum of its proper divisors (21188257374).

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

12133333410 is a wasteful number, since it uses less digits than its factorization.

12133333410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21248.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12133333410 its reverse (1433333121), we get a palindrome (13566666531).

It can be divided in two parts, 12133 and 333410, that added together give a palindrome (345543).

The spelling of 12133333410 in words is "twelve billion, one hundred thirty-three million, three hundred thirty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 47 55 66 74 94 110 111 141 165 185 222 235 282 330 370 407 470 517 555 705 814 1034 1110 1221 1410 1551 1739 2035 2442 2585 3102 3478 4070 5170 5217 6105 7755 8695 10434 12210 15510 17390 19129 21143 26085 38258 42286 52170 57387 63429 95645 105715 114774 126858 191290 211430 232573 286935 317145 465146 573870 634290 697719 782291 993721 1162865 1395438 1564582 1987442 2325730 2346873 2981163 3488595 3911455 4693746 4968605 5962326 6977190 7822910 8605201 9937210 10930931 11734365 14905815 17210402 21861862 23468730 25815603 29811630 32792793 36767677 43026005 51631206 54654655 65585586 73535354 86052010 109309310 110303031 129078015 163963965 183838385 220606062 258156030 327927930 367676770 404444447 551515155 808888894 1103030310 1213333341 2022222235 2426666682 4044444470 6066666705 12133333410