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1053358031 = 1147103131151
BaseRepresentation
bin111110110010001…
…111011111001111
32201102002010120102
4332302033133033
54124124424111
6252305041315
735050252445
oct7662173717
92642063512
101053358031
114a0658530
1225492623b
1313a2ccb9b
149dc7ab95
156272113b
hex3ec8f7cf

1053358031 has 32 divisors (see below), whose sum is σ = 1201913856. Its totient is φ = 914940000.

The previous prime is 1053358027. The next prime is 1053358051. The reversal of 1053358031 is 1308533501.

It is a cyclic number.

It is not a de Polignac number, because 1053358031 - 22 = 1053358027 is a prime.

It is a super-2 number, since 2×10533580312 = 2219126282944393922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1053357985 and 1053358003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053358051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6975806 + ... + 6975956.

It is an arithmetic number, because the mean of its divisors is an integer number (37559808).

Almost surely, 21053358031 is an apocalyptic number.

1053358031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1053358031 is a deficient number, since it is larger than the sum of its proper divisors (148555825).

1053358031 is a wasteful number, since it uses less digits than its factorization.

1053358031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 1053358031 is about 32455.4776732680. The cubic root of 1053358031 is about 1017.4787245701.

The spelling of 1053358031 in words is "one billion, fifty-three million, three hundred fifty-eight thousand, thirty-one".

Divisors: 1 11 47 103 131 151 517 1133 1441 1661 4841 6157 7097 13493 15553 19781 53251 67727 78067 148423 171083 217591 634171 730991 929707 2037443 6975881 8040901 10226777 22411873 95759821 1053358031