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320121133220 = 225723919108179
BaseRepresentation
bin1001010100010001011…
…01001101100010100100
31010121021210101111112102
410222020231031202210
520221102002230340
6403021150511232
732061620510330
oct4521055154244
91117253344472
10320121133220
11113843041519
125205bb05518
13242586391b5
14116cb55a7c0
1584d8da6215
hex4a88b4d8a4

320121133220 has 96 divisors (see below), whose sum is σ = 802574438400. Its totient is φ = 104868618624.

The previous prime is 320121133207. The next prime is 320121133229. The reversal of 320121133220 is 22331121023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320121133192 and 320121133201.

It is not an unprimeable number, because it can be changed into a prime (320121133229) 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, 2905091 + ... + 3013269.

It is an arithmetic number, because the mean of its divisors is an integer number (8360150400).

Almost surely, 2320121133220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320121133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401287219200).

320121133220 is an abundant number, since it is smaller than the sum of its proper divisors (482453305180).

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

320121133220 is a wasteful number, since it uses less digits than its factorization.

320121133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109137 (or 109135 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 320121133220 its reverse (22331121023), we get a palindrome (342452254243).

The spelling of 320121133220 in words is "three hundred twenty billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 919 1610 1838 3220 3676 4595 6433 9190 12866 18380 21137 25732 32165 42274 64330 84548 105685 108179 128660 147959 211370 216358 295918 422740 432716 540895 591836 739795 757253 1081790 1479590 1514506 2163580 2488117 2959180 3029012 3786265 4976234 7572530 9952468 12440585 15145060 17416819 24881170 34833638 49762340 69667276 87084095 99416501 174168190 198833002 348336380 397666004 497082505 695915507 994165010 1391831014 1988330020 2286579523 2783662028 3479577535 4573159046 6959155070 9146318092 11432897615 13918310140 16006056661 22865795230 32012113322 45731590460 64024226644 80030283305 160060566610 320121133220