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1023213152 = 25133896323
BaseRepresentation
bin111100111111001…
…111111001100000
32122022100121120102
4330333033321200
54043420310102
6245311001532
734233111503
oct7477177140
92568317512
101023213152
11485639205
122468092a8
13133ca6c90
1499c7113a
155ec69402
hex3cfcfe60

1023213152 has 48 divisors (see below), whose sum is σ = 2175329520. Its totient is φ = 470963712.

The previous prime is 1023213151. The next prime is 1023213161. The reversal of 1023213152 is 2513123201.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023213151) 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 7 ways as a sum of consecutive naturals, for example, 158663 + ... + 164985.

It is an arithmetic number, because the mean of its divisors is an integer number (45319365).

Almost surely, 21023213152 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 1023213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087664760).

1023213152 is an abundant number, since it is smaller than the sum of its proper divisors (1152116368).

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

1023213152 is a wasteful number, since it uses less digits than its factorization.

1023213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1023213152 is about 31987.7031372995. The cubic root of 1023213152 is about 1007.6786054391.

Adding to 1023213152 its reverse (2513123201), we get a palindrome (3536336353).

The spelling of 1023213152 in words is "one billion, twenty-three million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 389 416 778 1556 3112 5057 6224 6323 10114 12448 12646 20228 25292 40456 50584 80912 82199 101168 161824 164398 202336 328796 657592 1315184 2459647 2630368 4919294 9838588 19677176 31975411 39354352 63950822 78708704 127901644 255803288 511606576 1023213152