Search a number
-
+
334101313431130 = 25719757331841473
BaseRepresentation
bin100101111110111010000011…
…0000110110010011001011010
31121210221202212222102121022111
41023331310012012302121122
5322242403442214244010
63142324005143542534
7130242011001141250
oct11375640606623132
91553852788377274
10334101313431130
1197500631479513
123157b0a5a5aa4a
13114568072aa6bb
145c7083879c5d0
152895b1dcc258a
hex12fdd061b265a

334101313431130 has 64 divisors (see below), whose sum is σ = 724423211400960. Its totient is φ = 108376770023424.

The previous prime is 334101313431103. The next prime is 334101313431167. The reversal of 334101313431130 is 31134313101433.

It is a happy number.

It is a super-2 number, since 2×3341013134311302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334101313431092 and 334101313431101.

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, 164913927 + ... + 166927546.

It is an arithmetic number, because the mean of its divisors is an integer number (11319112678140).

Almost surely, 2334101313431130 is an apocalyptic number.

334101313431130 is an abundant number, since it is smaller than the sum of its proper divisors (390321897969830).

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

334101313431130 is a wasteful number, since it uses less digits than its factorization.

334101313431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331842263.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 334101313431130 its reverse (31134313101433), we get a palindrome (365235626532563).

The spelling of 334101313431130 in words is "three hundred thirty-four trillion, one hundred one billion, three hundred thirteen million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 757 1330 1514 3785 5299 7570 10598 14383 26495 28766 52990 71915 100681 143830 201362 503405 1006810 331841473 663682946 1659207365 2322890311 3318414730 4645780622 6304987987 11614451555 12609975974 23228903110 31524939935 44134915909 63049879870 88269831818 220674579545 251203995061 441349159090 502407990122 1256019975305 1758427965427 2512039950610 3516855930854 4772875906159 8792139827135 9545751812318 17584279654270 23864379530795 33410131343113 47728759061590 66820262686226 167050656715565 334101313431130