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12283523820 = 2232512724231
BaseRepresentation
bin10110111000010011…
…11011001011101100
31011201001121122220200
423130021323023230
5200124040230240
65350514313500
7613253141541
oct133411731354
934631548820
1012283523820
115233802287
122469888890
131209b140b9
14847542bc8
154bd5c7930
hex2dc27b2ec

12283523820 has 108 divisors (see below), whose sum is σ = 37564594704. Its totient is φ = 3249046080.

The previous prime is 12283523789. The next prime is 12283523827. The reversal of 12283523820 is 2832538221.

It is a happy number.

12283523820 is a `hidden beast` number, since 1 + 228 + 3 + 52 + 382 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12283523827) 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 35 ways as a sum of consecutive naturals, for example, 2901105 + ... + 2905335.

Almost surely, 212283523820 is an apocalyptic number.

12283523820 is a gapful number since it is divisible by the number (10) 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 12283523820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782297352).

12283523820 is an abundant number, since it is smaller than the sum of its proper divisors (25281070884).

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

12283523820 is a wasteful number, since it uses less digits than its factorization.

12283523820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12283523820 in words is "twelve billion, two hundred eighty-three million, five hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4231 4572 5715 7620 8462 11430 12693 16129 16924 21155 22860 25386 32258 38079 42310 48387 50772 63465 64516 76158 80645 84620 96774 126930 145161 152316 161290 190395 193548 241935 253860 290322 322580 380790 483870 537337 580644 725805 761580 967740 1074674 1451610 1612011 2149348 2686685 2903220 3224022 4836033 5373370 6448044 8060055 9672066 10746740 16120110 19344132 24180165 32240220 48360330 68241799 96720660 136483598 204725397 272967196 341208995 409450794 614176191 682417990 818901588 1023626985 1228352382 1364835980 2047253970 2456704764 3070880955 4094507940 6141761910 12283523820