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31112202223120 = 2451102813526469
BaseRepresentation
bin1110001001011110111111…
…10000101111111000010000
311002011022000212101200112111
413010233133300233320100
513034220242232114440
6150100425352435104
76360532242324244
oct704573760577020
9132138025350474
1031112202223120
119a0567a074967
1235a59056a8a94
131448b39234195
14797ba5272424
1538e476b434ea
hex1c4bdfc2fe10

31112202223120 has 40 divisors (see below), whose sum is σ = 72336546604440. Its totient is φ = 12444764513280.

The previous prime is 31112202223087. The next prime is 31112202223181. The reversal of 31112202223120 is 2132220221113.

It can be written as a sum of positive squares in 4 ways, for example, as 4672531852816 + 26439670370304 = 2161604^2 + 5141952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 31112202223091 and 31112202223100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7059246 + ... + 10585714.

It is an arithmetic number, because the mean of its divisors is an integer number (1808413665111).

Almost surely, 231112202223120 is an apocalyptic number.

It is an amenable number.

31112202223120 is an abundant number, since it is smaller than the sum of its proper divisors (41224344381320).

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

31112202223120 is a wasteful number, since it uses less digits than its factorization.

31112202223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636763 (or 3636757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31112202223120 its reverse (2132220221113), we get a palindrome (33244422444233).

The spelling of 31112202223120 in words is "thirty-one trillion, one hundred twelve billion, two hundred two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 110281 220562 441124 551405 882248 1102810 1764496 2205620 3526469 4411240 7052938 8822480 14105876 17632345 28211752 35264690 56423504 70529380 141058760 282117520 388902527789 777805055578 1555610111156 1944512638945 3111220222312 3889025277890 6222440444624 7778050555780 15556101111560 31112202223120