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1023413521 = 132812997
BaseRepresentation
bin111101000000000…
…000110100010001
32122022201210102111
4331000000310101
54043443213041
6245315145321
734234604614
oct7500006421
92568653374
101023413521
114857657a9
122468a5241
13134047240
1499cc417b
155eca8981
hex3d000d11

1023413521 has 12 divisors (see below), whose sum is σ = 1107183196. Its totient is φ = 940383360.

The previous prime is 1023413513. The next prime is 1023413539. The reversal of 1023413521 is 1253143201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34939921 + 988473600 = 5911^2 + 31440^2 .

It is not a de Polignac number, because 1023413521 - 23 = 1023413513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023413492 and 1023413501.

It is not an unprimeable number, because it can be changed into a prime (1023413561) 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, 1025995 + ... + 1026991.

Almost surely, 21023413521 is an apocalyptic number.

It is an amenable number.

1023413521 is a deficient number, since it is larger than the sum of its proper divisors (83769675).

1023413521 is an frugal number, since it uses more digits than its factorization.

1023413521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1023413521 is about 31990.8349531549. The cubic root of 1023413521 is about 1007.7443768040.

Adding to 1023413521 its reverse (1253143201), we get a palindrome (2276556722).

The spelling of 1023413521 in words is "one billion, twenty-three million, four hundred thirteen thousand, five hundred twenty-one".

Divisors: 1 13 281 997 3653 12961 78961 280157 1026493 3642041 78724117 1023413521