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2331211321120 = 255112945674203
BaseRepresentation
bin100001111011000111000…
…001011100111100100000
322020212021010101021021111
4201323013001130330200
5301143310044233440
64542535501033104
7330265406165623
oct41730701347440
98225233337244
102331211321120
1181973001a650
12317979b55794
1313baa86b4516
1480b8cc75dba
15409907da4ea
hex21ec705cf20

2331211321120 has 96 divisors (see below), whose sum is σ = 6215345680320. Its totient is φ = 818481699840.

The previous prime is 2331211321111. The next prime is 2331211321139. The reversal of 2331211321120 is 211231121332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2331211321091 and 2331211321100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22786062 + ... + 22888141.

It is an arithmetic number, because the mean of its divisors is an integer number (64743184170).

Almost surely, 22331211321120 is an apocalyptic number.

2331211321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331211321120 is an abundant number, since it is smaller than the sum of its proper divisors (3884134359200).

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

2331211321120 is a wasteful number, since it uses less digits than its factorization.

2331211321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45674258 (or 45674250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2331211321120 its reverse (211231121332), we get a palindrome (2542442442452).

The spelling of 2331211321120 in words is "two trillion, three hundred thirty-one billion, two hundred eleven million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4640 5104 6380 10208 12760 25520 51040 45674203 91348406 182696812 228371015 365393624 456742030 502416233 730787248 913484060 1004832466 1324551887 1461574496 1826968120 2009664932 2512081165 2649103774 3653936240 4019329864 5024162330 5298207548 6622759435 7307872480 8038659728 10048324660 10596415096 13245518870 14570070757 16077319456 20096649320 21192830192 26491037740 29140141514 40193298640 42385660384 52982075480 58280283028 72850353785 80386597280 105964150960 116560566056 145700707570 211928301920 233121132112 291401415140 466242264224 582802830280 1165605660560 2331211321120