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3441132123 = 31113191572689
BaseRepresentation
bin1100110100011011…
…1000001001011011
322212211002121211220
43031012320021123
524021412211443
61325243223123
7151163066112
oct31506701133
98784077756
103441132123
11150647a550
12800517aa3
1342abc7a70
14249036c79
1515217ea83
hexcd1b825b

3441132123 has 64 divisors (see below), whose sum is σ = 5712268800. Its totient is φ = 1811496960.

The previous prime is 3441132103. The next prime is 3441132131. The reversal of 3441132123 is 3212311443.

It is a happy number.

3441132123 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3441132123 - 26 = 3441132059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3441132093 and 3441132102.

It is not an unprimeable number, because it can be changed into a prime (3441132103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1278363 + ... + 1281051.

It is an arithmetic number, because the mean of its divisors is an integer number (89254200).

Almost surely, 23441132123 is an apocalyptic number.

3441132123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3441132123 is a deficient number, since it is larger than the sum of its proper divisors (2271136677).

3441132123 is a wasteful number, since it uses less digits than its factorization.

3441132123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892.

The product of its digits is 1728, while the sum is 24.

The square root of 3441132123 is about 58661.1636689897. The cubic root of 3441132123 is about 1509.7340471336.

Adding to 3441132123 its reverse (3212311443), we get a palindrome (6653443566).

The spelling of 3441132123 in words is "three billion, four hundred forty-one million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 11 13 19 33 39 57 143 157 209 247 429 471 627 741 1727 2041 2689 2717 2983 5181 6123 8067 8151 8949 22451 29579 32813 34957 38779 51091 67353 88737 98439 104871 116337 153273 384527 422173 426569 562001 664183 1153581 1266519 1279707 1686003 1992549 4643903 5488249 7306013 8021287 13931709 16464747 21918039 24063861 60370739 88234157 104276731 181112217 264702471 312830193 1147044041 3441132123