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314123130 = 233510111519
BaseRepresentation
bin10010101110010…
…010001101111010
3210220002002221000
4102232102031322
51120403420010
651100425430
710533000606
oct2256221572
9726062830
10314123130
111513503a2
1289248276
1350104299
142da0c506
151c89d7c0
hex12b9237a

314123130 has 64 divisors (see below), whose sum is σ = 846028800. Its totient is φ = 82929600.

The previous prime is 314123129. The next prime is 314123149. The reversal of 314123130 is 31321413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21511 + ... + 33029.

It is an arithmetic number, because the mean of its divisors is an integer number (13219200).

Almost surely, 2314123130 is an apocalyptic number.

314123130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

314123130 is an abundant number, since it is smaller than the sum of its proper divisors (531905670).

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

314123130 is a wasteful number, since it uses less digits than its factorization.

314123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 314123130 is about 17723.5191200845. The cubic root of 314123130 is about 679.7772699029. Note that the first 3 decimals are identical.

Adding to 314123130 its reverse (31321413), we get a palindrome (345444543).

The spelling of 314123130 in words is "three hundred fourteen million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 4545 5454 9090 11519 13635 23038 27270 34557 57595 69114 103671 115190 172785 207342 311013 345570 518355 622026 1036710 1163419 1555065 2326838 3110130 3490257 5817095 6980514 10470771 11634190 17451285 20941542 31412313 34902570 52353855 62824626 104707710 157061565 314123130