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10023014320 = 2451129338873
BaseRepresentation
bin10010101010110101…
…10000111110110000
3221212112001212211121
421111122300332300
5131011342424240
64334323552024
7503244134044
oct112532607660
927775055747
1010023014320
114283804010
121b3882b614
13c396b7907
146b1234024
153d9e0704a
hex2556b0fb0

10023014320 has 80 divisors (see below), whose sum is σ = 25509429792. Its totient is φ = 3632199680.

The previous prime is 10023014303. The next prime is 10023014329. The reversal of 10023014320 is 2341032001.

It is a happy number.

10023014320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10023014294 and 10023014303.

It is not an unprimeable number, because it can be changed into a prime (10023014329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238404 + ... + 277276.

Almost surely, 210023014320 is an apocalyptic number.

10023014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754714896).

10023014320 is an abundant number, since it is smaller than the sum of its proper divisors (15486415472).

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

10023014320 is a wasteful number, since it uses less digits than its factorization.

10023014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39190 (or 39184 counting only the distinct ones).

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

Adding to 10023014320 its reverse (2341032001), we get a palindrome (12364046321).

The spelling of 10023014320 in words is "ten billion, twenty-three million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 293 440 586 880 1172 1465 2344 2930 3223 4688 5860 6446 11720 12892 16115 23440 25784 32230 38873 51568 64460 77746 128920 155492 194365 257840 310984 388730 427603 621968 777460 855206 1554920 1710412 2138015 3109840 3420824 4276030 6841648 8552060 11389789 17104120 22779578 34208240 45559156 56948945 91118312 113897890 125287679 182236624 227795780 250575358 455591560 501150716 626438395 911183120 1002301432 1252876790 2004602864 2505753580 5011507160 10023014320