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10120402304 = 27739411151
BaseRepresentation
bin10010110110011100…
…10001010110000000
3222010022022201000222
421123032101112000
5131211310333204
64352123202212
7505536000035
oct113316212600
928108281028
1010120402304
114323781051
121b65376368
13c5392553c
146c014538c
153e3742abe
hex25b391580

10120402304 has 64 divisors (see below), whose sum is σ = 20477422080. Its totient is φ = 4981248000.

The previous prime is 10120402301. The next prime is 10120402309. The reversal of 10120402304 is 40320402101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120402301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8792129 + ... + 8793279.

It is an arithmetic number, because the mean of its divisors is an integer number (319959720).

Almost surely, 210120402304 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 10120402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238711040).

10120402304 is an abundant number, since it is smaller than the sum of its proper divisors (10357019776).

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

10120402304 is an equidigital number, since it uses as much as digits as its factorization.

10120402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10120402304 its reverse (40320402101), we get a palindrome (50440804405).

The spelling of 10120402304 in words is "ten billion, one hundred twenty million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 941 1151 1168 1882 2302 2336 3764 4604 4672 7528 9208 9344 15056 18416 30112 36832 60224 68693 73664 84023 120448 137386 147328 168046 274772 336092 549544 672184 1083091 1099088 1344368 2166182 2198176 2688736 4332364 4396352 5377472 8664728 8792704 10754944 17329456 34658912 69317824 79065643 138635648 158131286 316262572 632525144 1265050288 2530100576 5060201152 10120402304