Search a number
-
+
322020131220 = 2232517105235337
BaseRepresentation
bin1001010111110011110…
…01010100000110010100
31010210012010200121001200
410223321321110012110
520233444123144340
6403533424552500
732156646644544
oct4537171240624
91123163617050
10322020131220
11114627a72857
12524aba82730
132449bbab958
141182b843324
15859a967330
hex4af9e54194

322020131220 has 72 divisors (see below), whose sum is σ = 1034252901864. Its totient is φ = 80820738048.

The previous prime is 322020131219. The next prime is 322020131269. The reversal of 322020131220 is 22131020223.

It can be written as a sum of positive squares in 4 ways, for example, as 15471876996 + 306548254224 = 124386^2 + 553668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 322020131193 and 322020131202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52614609 + ... + 52620728.

It is an arithmetic number, because the mean of its divisors is an integer number (14364623637).

Almost surely, 2322020131220 is an apocalyptic number.

322020131220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322020131220 is an abundant number, since it is smaller than the sum of its proper divisors (712232770644).

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

322020131220 is a wasteful number, since it uses less digits than its factorization.

322020131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105235369 (or 105235364 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 322020131220 its reverse (22131020223), we get a palindrome (344151151443).

The spelling of 322020131220 in words is "three hundred twenty-two billion, twenty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 105235337 210470674 315706011 420941348 526176685 631412022 947118033 1052353370 1262824044 1578530055 1789000729 1894236066 2104706740 3157060110 3578001458 3788472132 4735590165 5367002187 6314120220 7156002916 8945003645 9471180330 10734004374 16101006561 17890007290 18942360660 21468008748 26835010935 32202013122 35780014580 53670021870 64404026244 80505032805 107340043740 161010065610 322020131220