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310430420120 = 235312063121351
BaseRepresentation
bin1001000010001110001…
…10000100110010011000
31002200021102121021021102
410201013012010302120
520041230141420440
6354335413130532
731266520014422
oct4410706046230
91080242537242
10310430420120
1110a71a974317
12501b6629a48
1323372a4b932
141104c507812
15811d23db15
hex4847184c98

310430420120 has 64 divisors (see below), whose sum is σ = 721355120640. Its totient is φ = 120107376000.

The previous prime is 310430420117. The next prime is 310430420177. The reversal of 310430420120 is 21024034013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 310430420092 and 310430420101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497445 + ... + 2618795.

It is an arithmetic number, because the mean of its divisors is an integer number (11271173760).

Almost surely, 2310430420120 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 310430420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360677560320).

310430420120 is an abundant number, since it is smaller than the sum of its proper divisors (410924700520).

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

310430420120 is a wasteful number, since it uses less digits than its factorization.

310430420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123456 (or 123452 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 310430420120 its reverse (21024034013), we get a palindrome (331454454133).

The spelling of 310430420120 in words is "three hundred ten billion, four hundred thirty million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2063 4126 8252 10315 16504 20630 41260 63953 82520 121351 127906 242702 255812 319765 485404 511624 606755 639530 970808 1213510 1279060 2427020 2558120 3761881 4854040 7523762 15047524 18809405 30095048 37618810 75237620 150475240 250347113 500694226 1001388452 1251735565 2002776904 2503471130 5006942260 7760760503 10013884520 15521521006 31043042012 38803802515 62086084024 77607605030 155215210060 310430420120