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1053111033 = 32131812232
BaseRepresentation
bin111110110001010…
…011001011111001
32201101121120202100
4332301103023321
54124044023113
6252255454013
735045203362
oct7661231371
92641546670
101053111033
114a04a99a7
12254827309
1313a244630
149dc14b69
15626c2d73
hex3ec532f9

1053111033 has 36 divisors (see below), whose sum is σ = 1654643172. Its totient is φ = 641597760.

The previous prime is 1053111029. The next prime is 1053111041. The reversal of 1053111033 is 3301113501.

It can be written as a sum of positive squares in 2 ways, for example, as 64448784 + 988662249 = 8028^2 + 31443^2 .

It is not a de Polignac number, because 1053111033 - 22 = 1053111029 is a prime.

It is a super-2 number, since 2×10531110332 = 2218085695652654178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053110997 and 1053111015.

It is not an unprimeable number, because it can be changed into a prime (1053111083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4722360 + ... + 4722582.

Almost surely, 21053111033 is an apocalyptic number.

1053111033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1053111033 is a deficient number, since it is larger than the sum of its proper divisors (601532139).

1053111033 is a wasteful number, since it uses less digits than its factorization.

1053111033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1053111033 is about 32451.6722681590. The cubic root of 1053111033 is about 1017.3991900881.

Adding to 1053111033 its reverse (3301113501), we get a palindrome (4354224534).

The spelling of 1053111033 in words is "one billion, fifty-three million, one hundred eleven thousand, thirty-three".

Divisors: 1 3 9 13 39 117 181 223 543 669 1629 2007 2353 2899 7059 8697 21177 26091 40363 49729 121089 149187 363267 447561 524719 646477 1574157 1939431 4722471 5818293 9000949 27002847 81008541 117012337 351037011 1053111033