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2312332012120 = 2351323911212227
BaseRepresentation
bin100001101001100001101…
…110100110101001011000
322012001112101122000001211
4201221201232212221120
5300341123443341440
64530134243552504
7326026512542464
oct41514156465130
98161471560054
102312332012120
11811722158339
1231418b38b734
1313a08a253370
147dcbb7574a4
1540238140eea
hex21a61ba6a58

2312332012120 has 128 divisors (see below), whose sum is σ = 5853010544640. Its totient is φ = 815762787840.

The previous prime is 2312332012069. The next prime is 2312332012129. The reversal of 2312332012120 is 212102332132.

It is a junction number, because it is equal to n+sod(n) for n = 2312332012091 and 2312332012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312332012129) 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, 10789447 + ... + 11001673.

It is an arithmetic number, because the mean of its divisors is an integer number (45726644880).

Almost surely, 22312332012120 is an apocalyptic number.

2312332012120 is a gapful number since it is divisible by the number (20) 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 2312332012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926505272320).

2312332012120 is an abundant number, since it is smaller than the sum of its proper divisors (3540678532520).

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

2312332012120 is a wasteful number, since it uses less digits than its factorization.

2312332012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213185 (or 213181 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2312332012120 its reverse (212102332132), we get a palindrome (2524434344252).

It can be divided in two parts, 2312332012 and 120, that added together give a palindrome (2312332132).

The spelling of 2312332012120 in words is "two trillion, three hundred twelve billion, three hundred thirty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 911 920 1196 1495 1822 2392 2990 3644 4555 5980 7288 9110 11843 11960 18220 20953 23686 36440 41906 47372 59215 83812 94744 104765 118430 167624 209530 212227 236860 272389 419060 424454 473720 544778 838120 848908 1061135 1089556 1361945 1697816 2122270 2179112 2723890 2758951 4244540 4881221 5447780 5517902 8489080 9762442 10895560 11035804 13794755 19524884 22071608 24406105 27589510 39049768 48812210 55179020 63455873 97624420 110358040 126911746 193338797 195248840 253823492 317279365 386677594 507646984 634558730 773355188 966693985 1269117460 1546710376 1933387970 2513404361 2538234920 3866775940 4446792331 5026808722 7733551880 8893584662 10053617444 12567021805 17787169324 20107234888 22233961655 25134043610 35574338648 44467923310 50268087220 57808300303 88935846620 100536174440 115616600606 177871693240 231233201212 289041501515 462466402424 578083003030 1156166006060 2312332012120