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1023043021 = 721121321021
BaseRepresentation
bin111100111110100…
…110010111001101
32122022000222012021
4330332212113031
54043344334041
6245303210141
734231502500
oct7476462715
92568028167
101023043021
11485532400
12246746951
13133c47700
1499c29137
155ec33cd1
hex3cfa65cd

1023043021 has 54 divisors (see below), whose sum is σ = 1417844106. Its totient is φ = 735134400.

The previous prime is 1023043009. The next prime is 1023043037. The reversal of 1023043021 is 1203403201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1920996 + 1021122025 = 1386^2 + 31955^2 .

It is not a de Polignac number, because 1023043021 - 25 = 1023042989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023042986 and 1023043004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023043001) 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 53 ways as a sum of consecutive naturals, for example, 1001491 + ... + 1002511.

Almost surely, 21023043021 is an apocalyptic number.

1023043021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023043021 is a deficient number, since it is larger than the sum of its proper divisors (394801085).

1023043021 is a wasteful number, since it uses less digits than its factorization.

1023043021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1023043021 is about 31985.0437079583. The cubic root of 1023043021 is about 1007.6227529933.

Adding to 1023043021 its reverse (1203403201), we get a palindrome (2226446222).

The spelling of 1023043021 in words is "one billion, twenty-three million, forty-three thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 169 539 637 847 1001 1021 1183 1573 1859 5929 7007 7147 8281 11011 11231 13013 13273 20449 50029 77077 78617 91091 92911 123541 143143 146003 172549 550319 650377 864787 1002001 1022021 1207843 1606033 1898039 6053509 7154147 8454901 11242231 13286273 20878429 78695617 93003911 146149003 1023043021