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320122213220 = 225113277511361
BaseRepresentation
bin1001010100010001100…
…01010101001101100100
31010121021212102101000102
410222020301111031210
520221102241310340
6403021230003232
732061632626115
oct4521061251544
91117255371012
10320122213220
11113843709987
1252060346518
1324258926954
14116cb75c20c
1584d901b215
hex4a88c55364

320122213220 has 48 divisors (see below), whose sum is σ = 680655549168. Its totient is φ = 126457282560.

The previous prime is 320122213079. The next prime is 320122213247. The reversal of 320122213220 is 22312221023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 115832676964 + 204289536256 = 340342^2 + 451984^2 .

It is a super-2 number, since 2×3201222132202 (a number of 24 digits) contains 22 as substring.

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 = 320122213192 and 320122213201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370340 + ... + 881700.

It is an arithmetic number, because the mean of its divisors is an integer number (14180323941).

Almost surely, 2320122213220 is an apocalyptic number.

It is an amenable number.

320122213220 is an abundant number, since it is smaller than the sum of its proper divisors (360533335948).

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

320122213220 is a wasteful number, since it uses less digits than its factorization.

320122213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511760 (or 511758 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 320122213220 its reverse (22312221023), we get a palindrome (342434434243).

The spelling of 320122213220 in words is "three hundred twenty billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 277 452 554 565 1108 1130 1385 2260 2770 5540 31301 62602 125204 156505 313010 511361 626020 1022722 2045444 2556805 5113610 10227220 57783793 115567586 141646997 231135172 283293994 288918965 566587988 577837930 708234985 1155675860 1416469970 2832939940 16006110661 32012221322 64024442644 80030553305 160061106610 320122213220