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1034144221 = 111731178393
BaseRepresentation
bin111101101000111…
…100100111011101
32200001220222011211
4331220330213131
54104220103341
6250341144421
734425036505
oct7550744735
92601828154
101034144221
11490824950
1224a3bb111
13136333576
149b4b8a05
1560bc8181
hex3da3c9dd

1034144221 has 16 divisors (see below), whose sum is σ = 1233059328. Its totient is φ = 856281600.

The previous prime is 1034144219. The next prime is 1034144231. The reversal of 1034144221 is 1224414301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1034144221 - 21 = 1034144219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1034144192 and 1034144201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034144201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83400 + ... + 94993.

It is an arithmetic number, because the mean of its divisors is an integer number (77066208).

Almost surely, 21034144221 is an apocalyptic number.

1034144221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1034144221 is a deficient number, since it is larger than the sum of its proper divisors (198915107).

1034144221 is a wasteful number, since it uses less digits than its factorization.

1034144221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178452.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1034144221 is about 32158.1128333116. The cubic root of 1034144221 is about 1011.2542731847.

Adding to 1034144221 its reverse (1224414301), we get a palindrome (2258558522).

The spelling of 1034144221 in words is "one billion, thirty-four million, one hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 11 17 31 187 341 527 5797 178393 1962323 3032681 5530183 33359491 60832013 94013111 1034144221