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3322131020 = 2251325091931
BaseRepresentation
bin1100011000000011…
…1011001001001100
322120112011202000122
43012000323021030
523300431143040
61305352444112
7145216435115
oct30600731114
98515152018
103322131020
11145529022a
127886a9638
1340c360700
142372db20c
151469c51b5
hexc603b24c

3322131020 has 72 divisors (see below), whose sum is σ = 7573169520. Its totient is φ = 1223589120.

The previous prime is 3322131013. The next prime is 3322131037. The reversal of 3322131020 is 201312233.

It is a super-2 number, since 2×33221310202 = 22073109028092480800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3322131020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719455 + ... + 1721385.

It is an arithmetic number, because the mean of its divisors is an integer number (105182910).

Almost surely, 23322131020 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 3322131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786584760).

3322131020 is an abundant number, since it is smaller than the sum of its proper divisors (4251038500).

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

3322131020 is a wasteful number, since it uses less digits than its factorization.

3322131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3322131020 is about 57637.9303931014. The cubic root of 3322131020 is about 1492.1263007409.

Adding to 3322131020 its reverse (201312233), we get a palindrome (3523443253).

The spelling of 3322131020 in words is "three billion, three hundred twenty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 509 676 845 1018 1690 1931 2036 2545 3380 3862 5090 6617 7724 9655 10180 13234 19310 25103 26468 33085 38620 50206 66170 86021 100412 125515 132340 172042 251030 326339 344084 430105 502060 652678 860210 982879 1305356 1631695 1720420 1965758 3263390 3931516 4914395 6526780 9828790 12777427 19657580 25554854 51109708 63887135 127774270 166106551 255548540 332213102 664426204 830532755 1661065510 3322131020