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1023513141 = 3748738721
BaseRepresentation
bin111101000000011…
…001001000110101
32122022220212002010
4331000121020311
54044004410031
6245321234433
734235501220
oct7500311065
92568825063
101023513141
11485823632
12246932a19
131340806a1
1499d0c5b7
155ecc8246
hex3d019235

1023513141 has 8 divisors (see below), whose sum is σ = 1559639104. Its totient is φ = 584864640.

The previous prime is 1023513137. The next prime is 1023513149. The reversal of 1023513141 is 1413153201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1023513141 - 22 = 1023513137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 48738721 = 1023513141 / (1 + 0 + 2 + 3 + 5 + 1 + 3 + 1 + 4 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023513149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24369340 + ... + 24369381.

It is an arithmetic number, because the mean of its divisors is an integer number (194954888).

Almost surely, 21023513141 is an apocalyptic number.

It is an amenable number.

1023513141 is a deficient number, since it is larger than the sum of its proper divisors (536125963).

1023513141 is an equidigital number, since it uses as much as digits as its factorization.

1023513141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48738731.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1023513141 is about 31992.3919237059. The cubic root of 1023513141 is about 1007.7770739935. Note that the first 3 decimals are identical.

Adding to 1023513141 its reverse (1413153201), we get a palindrome (2436666342).

The spelling of 1023513141 in words is "one billion, twenty-three million, five hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 48738721 146216163 341171047 1023513141