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1001133023 = 11739712853
BaseRepresentation
bin111011101011000…
…001001111011111
32120202210211022212
4323223001033133
54022242224043
6243201431035
733544330112
oct7353011737
92522724285
101001133023
11474128070
1223b33b47b
1312c545b07
1496d64579
155cd57018
hex3bac13df

1001133023 has 16 divisors (see below), whose sum is σ = 1118606496. Its totient is φ = 888330240.

The previous prime is 1001133019. The next prime is 1001133053. The reversal of 1001133023 is 3203311001.

It is a cyclic number.

It is not a de Polignac number, because 1001133023 - 22 = 1001133019 is a prime.

It is a super-2 number, since 2×10011330232 = 2004534659482237058, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001132989 and 1001133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001133053) 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, 71465 + ... + 84317.

It is an arithmetic number, because the mean of its divisors is an integer number (69912906).

Almost surely, 21001133023 is an apocalyptic number.

1001133023 is a deficient number, since it is larger than the sum of its proper divisors (117473473).

1001133023 is a wasteful number, since it uses less digits than its factorization.

1001133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1001133023 is about 31640.6861967309. The cubic root of 1001133023 is about 1000.3775317851.

Adding to 1001133023 its reverse (3203311001), we get a palindrome (4204444024).

It can be divided in two parts, 10011 and 33023, that added together give a palindrome (43034).

The spelling of 1001133023 in words is "one billion, one million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 11 73 97 803 1067 7081 12853 77891 141383 938269 1246741 10320959 13714151 91012093 1001133023