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12031302132 = 223219431073823
BaseRepresentation
bin10110011010001111…
…10001100111110100
31011001111000110210200
423031013301213310
5144120003132012
65305504320500
7604101244413
oct131507614764
934044013720
1012031302132
1151143a1403
1223b9313130
1311997a43b5
14821c4947a
154a63a53dc
hex2cd1f19f4

12031302132 has 144 divisors (see below), whose sum is σ = 33072399360. Its totient is φ = 3675357504.

The previous prime is 12031302119. The next prime is 12031302193. The reversal of 12031302132 is 23120313021.

It is a super-3 number, since 3×120313021323 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3145173 + ... + 3148995.

It is an arithmetic number, because the mean of its divisors is an integer number (229669440).

Almost surely, 212031302132 is an apocalyptic number.

12031302132 is a gapful number since it is divisible by the number (12) 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 12031302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536199680).

12031302132 is an abundant number, since it is smaller than the sum of its proper divisors (21041097228).

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

12031302132 is a wasteful number, since it uses less digits than its factorization.

12031302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3997 counting only the distinct ones).

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

Adding to 12031302132 its reverse (23120313021), we get a palindrome (35151615153).

The spelling of 12031302132 in words is "twelve billion, thirty-one million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 107 114 129 171 172 214 228 258 321 342 387 428 516 642 684 774 817 963 1284 1548 1634 1926 2033 2451 3268 3823 3852 4066 4601 4902 6099 7353 7646 8132 9202 9804 11469 12198 13803 14706 15292 18297 18404 22938 24396 27606 29412 34407 36594 41409 45876 55212 68814 72637 73188 82818 87419 137628 145274 164389 165636 174838 217911 262257 290548 328778 349676 409061 435822 493167 524514 653733 657556 786771 818122 871644 986334 1049028 1227183 1307466 1479501 1573542 1636244 1972668 2454366 2614932 2959002 3123391 3147084 3681549 4908732 5918004 6246782 7363098 7772159 9370173 12493564 14726196 15544318 17589623 18740346 23316477 28110519 31088636 35179246 37480692 46632954 52768869 56221038 69949431 70358492 93265908 105537738 112442076 139898862 158306607 211075476 279797724 316613214 334202837 633226428 668405674 1002608511 1336811348 2005217022 3007825533 4010434044 6015651066 12031302132