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1058088141 = 321131373407
BaseRepresentation
bin111111000100010…
…010010011001101
32201201222110001200
4333010102103031
54131332310031
6252554300113
735135413035
oct7704222315
92651873050
101058088141
114a3299310
12256427639
1313b297b76
14a074c8c5
1562d578e6
hex3f1124cd

1058088141 has 24 divisors (see below), whose sum is σ = 1668311424. Its totient is φ = 640872960.

The previous prime is 1058088139. The next prime is 1058088167. The reversal of 1058088141 is 1418808501.

It is a happy number.

1058088141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1058088141 - 21 = 1058088139 is a prime.

It is a super-2 number, since 2×10580881412 = 2239101028249671762, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1058088096 and 1058088105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058088641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308860 + ... + 312266.

It is an arithmetic number, because the mean of its divisors is an integer number (69512976).

Almost surely, 21058088141 is an apocalyptic number.

1058088141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1058088141 is a deficient number, since it is larger than the sum of its proper divisors (610223283).

1058088141 is a wasteful number, since it uses less digits than its factorization.

1058088141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1058088141 is about 32528.2667998158. The cubic root of 1058088141 is about 1018.9994484895. Note that the first 3 decimals are identical.

The spelling of 1058088141 in words is "one billion, fifty-eight million, eighty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 3137 3407 9411 10221 28233 30663 34507 37477 103521 112431 310563 337293 10687759 32063277 96189831 117565349 352696047 1058088141