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3431331123 = 311374168543
BaseRepresentation
bin1100110010000101…
…1111010100110011
322212010122200101220
43030201133110303
524011410043443
61324253200123
7151013555553
oct31441372463
98763580356
103431331123
111500995950
127b9190043
13428b7595c
14247a05163
15151395a83
hexcc85f533

3431331123 has 32 divisors (see below), whose sum is σ = 5251018752. Its totient is φ = 1974009600.

The previous prime is 3431331121. The next prime is 3431331133. The reversal of 3431331123 is 3211331343.

It is a happy number.

It is not a de Polignac number, because 3431331123 - 21 = 3431331121 is a prime.

It is a super-2 number, since 2×34313311232 = 23548066551336882258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3431331093 and 3431331102.

It is not an unprimeable number, because it can be changed into a prime (3431331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15790 + ... + 84332.

It is an arithmetic number, because the mean of its divisors is an integer number (164094336).

Almost surely, 23431331123 is an apocalyptic number.

3431331123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3431331123 is a deficient number, since it is larger than the sum of its proper divisors (1819687629).

3431331123 is a wasteful number, since it uses less digits than its factorization.

3431331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68635.

The product of its digits is 1944, while the sum is 24.

The square root of 3431331123 is about 58577.5650142612. The cubic root of 3431331123 is about 1508.2993474213.

Adding to 3431331123 its reverse (3211331343), we get a palindrome (6642662466).

The spelling of 3431331123 in words is "three billion, four hundred thirty-one million, three hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 11 33 37 41 111 123 407 451 1221 1353 1517 4551 16687 50061 68543 205629 753973 2261919 2536091 2810263 7608273 8430789 27897001 30912893 83691003 92738679 103979731 311939193 1143777041 3431331123