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12133354324 = 2272133191483
BaseRepresentation
bin10110100110011010…
…00100101101010100
31011022121001021002111
423103031010231110
5144322114314244
65323551520404
7606450544600
oct132315045524
934277037074
1012133354324
115166a64763
122427529104
1311b4986000
14831612500
154b0312e34
hex2d3344b54

12133354324 has 144 divisors (see below), whose sum is σ = 28184721600. Its totient is φ = 4544309952.

The previous prime is 12133354279. The next prime is 12133354349. The reversal of 12133354324 is 42345333121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8180887 + ... + 8182369.

Almost surely, 212133354324 is an apocalyptic number.

12133354324 is a gapful number since it is divisible by the number (14) 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 12133354324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092360800).

12133354324 is an abundant number, since it is smaller than the sum of its proper divisors (16051367276).

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

12133354324 is a wasteful number, since it uses less digits than its factorization.

12133354324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1524 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

Adding to 12133354324 its reverse (42345333121), we get a palindrome (54478687445).

The spelling of 12133354324 in words is "twelve billion, one hundred thirty-three million, three hundred fifty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 169 182 196 247 266 338 364 494 532 637 676 931 988 1183 1274 1483 1729 1862 2197 2366 2548 2966 3211 3458 3724 4394 4732 5932 6422 6916 8281 8788 10381 12103 12844 15379 16562 19279 20762 22477 24206 28177 30758 33124 38558 41524 41743 44954 48412 56354 61516 72667 77116 83486 89908 107653 112708 134953 145334 157339 166972 197239 215306 250627 269906 290668 292201 314678 366301 394478 430612 501254 539812 584402 629356 732602 788956 944671 1002508 1168804 1380673 1465204 1754389 1889342 2045407 2564107 2761346 3258151 3508778 3778684 4090814 4761913 5128214 5522692 6516302 7017556 8181628 9523826 10256428 12280723 13032604 17948749 19047652 22807057 24561446 33333391 35897498 45614114 49122892 61904869 66666782 71794996 91228228 123809738 133333564 159649399 233333737 247619476 319298798 433334083 466667474 638597596 866668166 933334948 1733336332 3033338581 6066677162 12133354324