Search a number
-
+
310300213120 = 275838757809
BaseRepresentation
bin1001000001111110101…
…01010111111110000000
31002122221100121001211221
410200333111113332000
520040443323304440
6354314442244424
731263346202242
oct4407725277600
91078840531757
10310300213120
1110a663420927
125017aab6714
1323351a8cb81
14110390d2092
158111abdd4a
hex483f557f80

310300213120 has 64 divisors (see below), whose sum is σ = 741912728400. Its totient is φ = 124103139328.

The previous prime is 310300213117. The next prime is 310300213129. The reversal of 310300213120 is 21312003013.

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

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 = 310300213094 and 310300213103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310300213129) 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, 5338776 + ... + 5396584.

Almost surely, 2310300213120 is an apocalyptic number.

It is an amenable number.

310300213120 is an abundant number, since it is smaller than the sum of its proper divisors (431612515280).

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

310300213120 is an equidigital number, since it uses as much as digits as its factorization.

310300213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66215 (or 66203 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 310300213120 its reverse (21312003013), we get a palindrome (331612216133).

The spelling of 310300213120 in words is "three hundred ten billion, three hundred million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 8387 16774 33548 41935 57809 67096 83870 115618 134192 167740 231236 268384 289045 335480 462472 536768 578090 670960 924944 1073536 1156180 1341920 1849888 2312360 2683840 3699776 4624720 5367680 7399552 9249440 18498880 36997760 484844083 969688166 1939376332 2424220415 3878752664 4848440830 7757505328 9696881660 15515010656 19393763320 31030021312 38787526640 62060042624 77575053280 155150106560 310300213120