Search a number
-
+
112210000222000 = 245397907637709
BaseRepresentation
bin11001100000110111101101…
…001101000001011100110000
3112201022011121211212020020011
4121200313231031001130300
5104201422040024101000
61034352321254224304
732430622260460042
oct3140675515013460
9481264554766204
10112210000222000
1132831aa28a8a5a
1210703072055094
134a7c4858bc205
141d9cdc8a91a92
15ce8c8da682ba
hex660ded341730

112210000222000 has 160 divisors (see below), whose sum is σ = 274423591391040. Its totient is φ = 44372232806400.

The previous prime is 112210000221853. The next prime is 112210000222003. The reversal of 112210000222000 is 222000012211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112210000222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175639146 + ... + 176276854.

It is an arithmetic number, because the mean of its divisors is an integer number (1715147446194).

Almost surely, 2112210000222000 is an apocalyptic number.

112210000222000 is a gapful number since it is divisible by the number (10) 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 112210000222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137211795695520).

112210000222000 is an abundant number, since it is smaller than the sum of its proper divisors (162213591169040).

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

112210000222000 is an equidigital number, since it uses as much as digits as its factorization.

112210000222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638736 (or 638720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112210000222000 its reverse (222000012211), we get a palindrome (112432000234211).

The spelling of 112210000222000 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 907 970 1000 1552 1814 1940 2000 2425 3628 3880 4535 4850 7256 7760 9070 9700 12125 14512 18140 19400 22675 24250 36280 38800 45350 48500 72560 87979 90700 97000 113375 175958 181400 194000 226750 351916 362800 439895 453500 637709 703832 879790 907000 1275418 1407664 1759580 1814000 2199475 2550836 3188545 3519160 4398950 5101672 6377090 7038320 8797900 10203344 10997375 12754180 15942725 17595800 21994750 25508360 31885450 35191600 43989500 51016720 61857773 63770900 79713625 87979000 123715546 127541800 159427250 175958000 247431092 255083600 309288865 318854500 494862184 578402063 618577730 637709000 989724368 1156804126 1237155460 1275418000 1546444325 2313608252 2474310920 2892010315 3092888650 4627216504 4948621840 5784020630 6185777300 7732221625 9254433008 11568041260 12371554600 14460051575 15464443250 23136082520 24743109200 28920103150 30928886500 46272165040 56105000111 57840206300 61857773000 72300257875 112210000222 115680412600 123715546000 144600515750 224420000444 231360825200 280525000555 289201031500 448840000888 561050001110 578402063000 897680001776 1122100002220 1156804126000 1402625002775 2244200004440 2805250005550 4488400008880 5610500011100 7013125013875 11221000022200 14026250027750 22442000044400 28052500055500 56105000111000 112210000222000