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20133301221220 = 22511592347660887
BaseRepresentation
bin1001001001111101001100…
…10001000111011101100100
32122021201120101020011110011
410210332212101013131210
510114331000103034340
6110453035541540004
74145403654505615
oct444764621073544
978251511204404
1020133301221220
116462537735570
122311b75a14604
13b307400a76b5
144d8657d3dc0c
1524daa793e0ea
hex124fa6447764

20133301221220 has 96 divisors (see below), whose sum is σ = 46925374325760. Its totient is φ = 7194034899840.

The previous prime is 20133301221211. The next prime is 20133301221233. The reversal of 20133301221220 is 2212210333102.

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 = 20133301221191 and 20133301221200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30133617 + ... + 30794503.

It is an arithmetic number, because the mean of its divisors is an integer number (488805982560).

Almost surely, 220133301221220 is an apocalyptic number.

20133301221220 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 20133301221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23462687162880).

20133301221220 is an abundant number, since it is smaller than the sum of its proper divisors (26792073104540).

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

20133301221220 is a wasteful number, since it uses less digits than its factorization.

20133301221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663313 (or 663311 counting only the distinct ones).

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

Adding to 20133301221220 its reverse (2212210333102), we get a palindrome (22345511554322).

The spelling of 20133301221220 in words is "twenty trillion, one hundred thirty-three billion, three hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2347 2596 3245 4694 6490 9388 11735 12980 23470 25817 46940 51634 103268 129085 138473 258170 276946 516340 553892 660887 692365 1321774 1384730 1523203 2643548 2769460 3046406 3304435 6092812 6608870 7269757 7616015 13217740 14539514 15232030 29079028 30464060 36348785 38992333 72697570 77984666 145395140 155969332 194961665 389923330 428915663 779846660 857831326 1551101789 1715662652 2144578315 3102203578 4289156630 6204407156 7755508945 8578313260 15511017890 17062119679 31022035780 34124239358 68248478716 85310598395 91515005551 170621196790 183030011102 341242393580 366060022204 457575027755 915150055510 1006665061061 1830300111020 2013330122122 4026660244244 5033325305305 10066650610610 20133301221220