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3411121220 = 2251361215077
BaseRepresentation
bin1100101101010001…
…1001010001000100
322210201121220121222
43023110121101010
523441221334340
61322252055512
7150350023553
oct31324312104
98721556558
103411121220
1114a0541951
127b2464598
1342491ab30
14245063d9a
1514e7028b5
hexcb519444

3411121220 has 48 divisors (see below), whose sum is σ = 7840883568. Its totient is φ = 1238837760.

The previous prime is 3411121211. The next prime is 3411121223. The reversal of 3411121220 is 221211143.

It can be written as a sum of positive squares in 8 ways, for example, as 1226680576 + 2184440644 = 35024^2 + 46738^2 .

It is not an unprimeable number, because it can be changed into a prime (3411121223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91679 + ... + 123398.

It is an arithmetic number, because the mean of its divisors is an integer number (163351741).

Almost surely, 23411121220 is an apocalyptic number.

It is an amenable number.

3411121220 is an abundant number, since it is smaller than the sum of its proper divisors (4429762348).

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

3411121220 is a wasteful number, since it uses less digits than its factorization.

3411121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215160 (or 215158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 3411121220 is about 58404.8047681011. The cubic root of 3411121220 is about 1505.3323136773.

Adding to 3411121220 its reverse (221211143), we get a palindrome (3632332363).

The spelling of 3411121220 in words is "three billion, four hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 15860 215077 430154 860308 1075385 2150770 2796001 4301540 5592002 11184004 13119697 13980005 26239394 27960010 52478788 55920020 65598485 131196970 170556061 262393940 341112122 682224244 852780305 1705560610 3411121220