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1013070971 = 111074911753
BaseRepresentation
bin111100011000100…
…011110001111011
32121121021100010002
4330120203301323
54033321232341
6244305343215
734050650453
oct7430436173
92547240102
101013070971
1147a941240
12243337b0b
13131b657a3
1498790d63
155de1429b
hex3c623c7b

1013070971 has 16 divisors (see below), whose sum is σ = 1118406528. Its totient is φ = 909988800.

The previous prime is 1013070967. The next prime is 1013070983. The reversal of 1013070971 is 1790703101.

It is a cyclic number.

It is not a de Polignac number, because 1013070971 - 22 = 1013070967 is a prime.

It is a super-3 number, since 3×10130709713 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013070901) 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 15 ways as a sum of consecutive naturals, for example, 577031 + ... + 578783.

It is an arithmetic number, because the mean of its divisors is an integer number (69900408).

Almost surely, 21013070971 is an apocalyptic number.

1013070971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013070971 is a deficient number, since it is larger than the sum of its proper divisors (105335557).

1013070971 is a wasteful number, since it uses less digits than its factorization.

1013070971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362.

The product of its (nonzero) digits is 1323, while the sum is 29.

The square root of 1013070971 is about 31828.7758325701. The cubic root of 1013070971 is about 1004.3381436293.

The spelling of 1013070971 in words is "one billion, thirteen million, seventy thousand, nine hundred seventy-one".

Divisors: 1 11 107 491 1177 1753 5401 19283 52537 187571 577907 860723 2063281 9467953 92097361 1013070971