Search a number
-
+
311130551220 = 2235127365911159
BaseRepresentation
bin1001000011100001101…
…00110111001110110100
31002202002020000121120220
410201300310313032310
520044143410114340
6354533103254340
731323051023106
oct4416064671664
91082066017526
10311130551220
1110aa4a0a3165
1250370baa3b0
1323454b058a8
14110b74b7576
15815e939ed0
hex4870d373b4

311130551220 has 96 divisors (see below), whose sum is σ = 878343782400. Its totient is φ = 82284983424.

The previous prime is 311130551201. The next prime is 311130551239. The reversal of 311130551220 is 22155031113.

It is an interprime number because it is at equal distance from previous prime (311130551201) and next prime (311130551239).

It is a super-2 number, since 2×3111305512202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27876001 + ... + 27887159.

It is an arithmetic number, because the mean of its divisors is an integer number (9149414400).

Almost surely, 2311130551220 is an apocalyptic number.

311130551220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311130551220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171891200).

311130551220 is an abundant number, since it is smaller than the sum of its proper divisors (567213231180).

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

311130551220 is a wasteful number, since it uses less digits than its factorization.

311130551220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14957 (or 14955 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 311130551220 its reverse (22155031113), we get a palindrome (333285582333).

The spelling of 311130551220 in words is "three hundred eleven billion, one hundred thirty million, five hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3659 3810 7318 7620 10977 11159 14636 18295 21954 22318 33477 36590 43908 44636 54885 55795 66954 73180 109770 111590 133908 167385 219540 223180 334770 464693 669540 929386 1394079 1417193 1858772 2323465 2788158 2834386 4251579 4646930 5576316 5668772 6970395 7085965 8503158 9293860 13940790 14171930 17006316 21257895 27881580 28343860 40830781 42515790 81661562 85031580 122492343 163323124 204153905 244984686 408307810 489969372 612461715 816615620 1224923430 2449846860 5185509187 10371018374 15556527561 20742036748 25927545935 31113055122 51855091870 62226110244 77782637805 103710183740 155565275610 311130551220