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12032221131030 = 23517191241715287
BaseRepresentation
bin1010111100010111100001…
…0001000011000100010110
31120121021021011211011010210
42233011320101003010112
53034113442102143110
641331305344430250
72351204441060022
oct257057021030426
946537234734123
1012032221131030
113919922170511
121423b12618386
13693830ca44a9
142d8511005382
1515cebba3c520
hexaf178443116

12032221131030 has 64 divisors (see below), whose sum is σ = 32185260264960. Its totient is φ = 2860912018944.

The previous prime is 12032221131019. The next prime is 12032221131037. The reversal of 12032221131030 is 3013112223021.

It is a junction number, because it is equal to n+sod(n) for n = 12032221130988 and 12032221131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032221131037) 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 31 ways as a sum of consecutive naturals, for example, 620847954 + ... + 620867333.

It is an arithmetic number, because the mean of its divisors is an integer number (502894691640).

Almost surely, 212032221131030 is an apocalyptic number.

12032221131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12032221131030 is an abundant number, since it is smaller than the sum of its proper divisors (20153039133930).

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

12032221131030 is a wasteful number, since it uses less digits than its factorization.

12032221131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241715333.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12032221131030 its reverse (3013112223021), we get a palindrome (15045333354051).

The spelling of 12032221131030 in words is "twelve trillion, thirty-two billion, two hundred twenty-one million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4845 9690 1241715287 2483430574 3725145861 6208576435 7450291722 12417152870 18625729305 21109159879 23592590453 37251458610 42218319758 47185180906 63327479637 70777771359 105545799395 117962952265 126654959274 141555542718 211091598790 235925904530 316637398185 353888856795 401074037701 633274796370 707777713590 802148075402 1203222113103 2005370188505 2406444226206 4010740377010 6016110565515 12032221131030