Search a number
-
+
120301314 = 2376742751
BaseRepresentation
bin1110010101110…
…10011100000010
322101100221101020
413022322130002
5221244120224
615534250310
72660354460
oct712723402
9271327336
10120301314
11619a8181
1234356996
131bc01113
1411d97830
15a864c79
hex72ba702

120301314 has 32 divisors (see below), whose sum is σ = 279085056. Its totient is φ = 33858000.

The previous prime is 120301283. The next prime is 120301351. The reversal of 120301314 is 413103021.

It is a junction number, because it is equal to n+sod(n) for n = 120301293 and 120301302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18562 + ... + 24189.

It is an arithmetic number, because the mean of its divisors is an integer number (8721408).

Almost surely, 2120301314 is an apocalyptic number.

120301314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120301314 is an abundant number, since it is smaller than the sum of its proper divisors (158783742).

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

120301314 is a wasteful number, since it uses less digits than its factorization.

120301314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42830.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120301314 is about 10968.1955671842. The cubic root of 120301314 is about 493.6549054913.

Adding to 120301314 its reverse (413103021), we get a palindrome (533404335).

The spelling of 120301314 in words is "one hundred twenty million, three hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1407 2814 42751 85502 128253 256506 299257 598514 897771 1795542 2864317 5728634 8592951 17185902 20050219 40100438 60150657 120301314