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20112223413300 = 22352712536737223
BaseRepresentation
bin1001001001010101111011…
…11011101010010000110100
32122012201011102121120200120
410210222331323222100310
510114004313143211200
6110435232231211540
74144026434214564
oct444527573522064
978181142546616
1020112223413300
1164546008794a7
122309a72b16bb0
13b2b76131c1c5
144d7618854da4
1524d2722729a0
hex124abdeea434

20112223413300 has 144 divisors (see below), whose sum is σ = 59014874806272. Its totient is φ = 5287370211200.

The previous prime is 20112223413259. The next prime is 20112223413301. The reversal of 20112223413300 is 331432221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112223413301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540298489 + ... + 540335711.

It is an arithmetic number, because the mean of its divisors is an integer number (409825519488).

Almost surely, 220112223413300 is an apocalyptic number.

20112223413300 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 20112223413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29507437403136).

20112223413300 is an abundant number, since it is smaller than the sum of its proper divisors (38902651392972).

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

20112223413300 is a wasteful number, since it uses less digits than its factorization.

20112223413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62678 (or 62671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20112223413300 its reverse (331432221102), we get a palindrome (20443655634402).

The spelling of 20112223413300 in words is "twenty trillion, one hundred twelve billion, two hundred twenty-three million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 25367 37223 50734 74446 76101 101468 111669 126835 148892 152202 186115 223338 253670 304404 372230 380505 446676 507340 558345 634175 744460 761010 930575 1116690 1268350 1522020 1801057 1861150 1902525 2233380 2536700 2642833 2791725 3602114 3722300 3805050 5285666 5403171 5583450 7204228 7610100 7928499 9005285 10571332 10806342 11166900 13214165 15856998 18010570 21612684 26428330 27015855 31713996 36021140 39642495 45026425 52856660 54031710 66070825 79284990 90052850 108063420 132141650 135079275 158569980 180105700 198212475 264283300 270158550 396424950 540317100 792849900 944235841 1888471682 2832707523 3776943364 4721179205 5665415046 9442358410 11330830092 14163537615 18884716820 23605896025 28327075230 47211792050 56654150460 67040744711 70817688075 94423584100 134081489422 141635376150 201122234133 268162978844 283270752300 335203723555 402244468266 670407447110 804488936532 1005611170665 1340814894220 1676018617775 2011222341330 3352037235550 4022444682660 5028055853325 6704074471100 10056111706650 20112223413300