Search a number
-
+
120310210304 = 285315756479
BaseRepresentation
bin111000000001100001…
…1000001111100000000
3102111112121212221000222
41300003003001330000
53432343403212204
6131134133202212
711456253625424
oct1600303017400
9374477787028
10120310210304
1147028a82779
121b397790368
13b46454b66b
145b74616b84
1531e232eabe
hex1c030c1f00

120310210304 has 72 divisors (see below), whose sum is σ = 246244440960. Its totient is φ = 58643140608.

The previous prime is 120310210303. The next prime is 120310210309. The reversal of 120310210304 is 403012013021.

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 (120310210303) 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, 2101937 + ... + 2158415.

It is an arithmetic number, because the mean of its divisors is an integer number (3420061680).

Almost surely, 2120310210304 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 120310210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123122220480).

120310210304 is an abundant number, since it is smaller than the sum of its proper divisors (125934230656).

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

120310210304 is an equidigital number, since it uses as much as digits as its factorization.

120310210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56705 (or 56691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120310210304 its reverse (403012013021), we get a palindrome (523322223325).

The spelling of 120310210304 in words is "one hundred twenty billion, three hundred ten million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 157 212 256 314 424 628 848 1256 1696 2512 3392 5024 6784 8321 10048 13568 16642 20096 33284 40192 56479 66568 112958 133136 225916 266272 451832 532544 903664 1065088 1807328 2130176 2993387 3614656 5986774 7229312 8867203 11973548 14458624 17734406 23947096 35468812 47894192 70937624 95788384 141875248 191576768 283750496 383153536 469961759 567500992 766307072 939923518 1135001984 1879847036 2270003968 3759694072 7519388144 15038776288 30077552576 60155105152 120310210304