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1023020031 = 31122818237
BaseRepresentation
bin111100111110100…
…000101111111111
32122021222210122210
4330332200233333
54043343120111
6245302511503
734231345455
oct7476405777
92567883583
101023020031
11485517100
12246735593
13133c3a0c7
1499c209d5
155ec2c0a6
hex3cfa0bff

1023020031 has 12 divisors (see below), whose sum is σ = 1499302616. Its totient is φ = 620011920.

The previous prime is 1023019997. The next prime is 1023020039. The reversal of 1023020031 is 1300203201.

It is a happy number.

It is not a de Polignac number, because 1023020031 - 29 = 1023019519 is a prime.

It is a super-2 number, since 2×10230200312 = 2093139967654481922, 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 = 1023019989 and 1023020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023020039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408756 + ... + 1409481.

Almost surely, 21023020031 is an apocalyptic number.

1023020031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1023020031 is a deficient number, since it is larger than the sum of its proper divisors (476282585).

1023020031 is a wasteful number, since it uses less digits than its factorization.

1023020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818262 (or 2818251 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1023020031 is about 31984.6843192175. The cubic root of 1023020031 is about 1007.6152051124.

Adding to 1023020031 its reverse (1300203201), we get a palindrome (2323223232).

The spelling of 1023020031 in words is "one billion, twenty-three million, twenty thousand, thirty-one".

Divisors: 1 3 11 33 121 363 2818237 8454711 31000607 93001821 341006677 1023020031