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20120333321232 = 2433178219333337
BaseRepresentation
bin1001001001100101000010…
…10100100000010000010000
32122020111002121211120221000
410210302201110200100100
510114122420312234412
6110443053054502000
74144434421254204
oct444624124402020
978214077746830
1020120333321232
116457a92695351
12230b556b04900
13b2c4545647b1
144d7b8796cb04
1524d59922d4dc
hex124ca1520410

20120333321232 has 160 divisors (see below), whose sum is σ = 61157656195200. Its totient is φ = 6311474491392.

The previous prime is 20120333321189. The next prime is 20120333321261. The reversal of 20120333321232 is 23212333302102.

20120333321232 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 333 + 321 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20120333321196 and 20120333321205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60193668 + ... + 60527004.

It is an arithmetic number, because the mean of its divisors is an integer number (382235351220).

Almost surely, 220120333321232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120333321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30578828097600).

20120333321232 is an abundant number, since it is smaller than the sum of its proper divisors (41037322873968).

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

20120333321232 is a wasteful number, since it uses less digits than its factorization.

20120333321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341590 (or 341578 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20120333321232 its reverse (23212333302102), we get a palindrome (43332666623334).

The spelling of 20120333321232 in words is "twenty trillion, one hundred twenty billion, three hundred thirty-three million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 8219 16438 24657 32876 49314 65752 73971 98628 131504 139723 147942 197256 221913 279446 295884 333337 394512 419169 443826 558892 591768 666674 838338 887652 1000011 1117784 1183536 1257507 1333348 1676676 1775304 2000022 2235568 2515014 2666696 3000033 3353352 3550608 3772521 4000044 5030028 5333392 5666729 6000066 6706704 7545042 8000088 9000099 10060056 11333458 12000132 15090084 16000176 17000187 18000198 20120112 22666916 24000264 30180168 34000374 36000396 45333832 48000528 51000561 60360336 68000748 72000792 90667664 102001122 136001496 144001584 153001683 204002244 272002992 306003366 408004488 612006732 816008976 1224013464 2448026928 2739696803 5479393606 8219090409 10958787212 16438180818 21917574424 24657271227 32876361636 43835148848 46574845651 49314542454 65752723272 73971813681 93149691302 98629084908 131505446544 139724536953 147943627362 186299382604 197258169816 279449073906 295887254724 372598765208 394516339632 419173610859 558898147812 591774509448 745197530416 838347221718 1117796295624 1183549018896 1257520832577 1676694443436 2235592591248 2515041665154 3353388886872 5030083330308 6706777773744 10060166660616 20120333321232