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1023413016 = 2332913710733
BaseRepresentation
bin111101000000000…
…000101100011000
32122022201202201210
4331000000230120
54043443204031
6245315143120
734234603263
oct7500005430
92568652653
101023413016
1148576538a
122468a4aa0
13134046c42
1499cc3cda
155eca8746
hex3d000b18

1023413016 has 64 divisors (see below), whose sum is σ = 2666325600. Its totient is φ = 326939648.

The previous prime is 1023413009. The next prime is 1023413059. The reversal of 1023413016 is 6103143201.

It is a junction number, because it is equal to n+sod(n) for n = 1023412983 and 1023413001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89986 + ... + 100718.

Almost surely, 21023413016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023413016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333162800).

1023413016 is an abundant number, since it is smaller than the sum of its proper divisors (1642912584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023413016 is a wasteful number, since it uses less digits than its factorization.

1023413016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908 (or 10904 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1023413016 is about 31990.8270602684. The cubic root of 1023413016 is about 1007.7442110479.

Adding to 1023413016 its reverse (6103143201), we get a palindrome (7126556217).

The spelling of 1023413016 in words is "one billion, twenty-three million, four hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 137 174 232 274 348 411 548 696 822 1096 1644 3288 3973 7946 10733 11919 15892 21466 23838 31784 32199 42932 47676 64398 85864 95352 128796 257592 311257 622514 933771 1245028 1470421 1867542 2490056 2940842 3735084 4411263 5881684 7470168 8822526 11763368 17645052 35290104 42642209 85284418 127926627 170568836 255853254 341137672 511706508 1023413016