Search a number
-
+
311313121110330 = 235193990431368683
BaseRepresentation
bin100011011001000110011101…
…1111111110110100100111010
31111211021020120200012202111220
41012302030323333312210322
5311301023233001012310
63022035135023532510
7122400426232331043
oct10662147377664472
91454236520182456
10311313121110330
1190215175a50069
122aaba69a45a136
1310492916b51881
1456c38c79a38ca
1525ece7e59d670
hex11b233bff693a

311313121110330 has 64 divisors (see below), whose sum is σ = 786477798858240. Its totient is φ = 78647270780736.

The previous prime is 311313121110301. The next prime is 311313121110337. The reversal of 311313121110330 is 33011121313113.

It is a self number, because there is not a number n which added to its sum of digits gives 311313121110330.

It is not an unprimeable number, because it can be changed into a prime (311313121110337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226770169 + ... + 228138851.

It is an arithmetic number, because the mean of its divisors is an integer number (12288715607160).

Almost surely, 2311313121110330 is an apocalyptic number.

311313121110330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311313121110330 is an abundant number, since it is smaller than the sum of its proper divisors (475164677747910).

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

311313121110330 is a wasteful number, since it uses less digits than its factorization.

311313121110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767755.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 311313121110330 its reverse (33011121313113), we get a palindrome (344324242423443).

The spelling of 311313121110330 in words is "three hundred eleven trillion, three hundred thirteen billion, one hundred twenty-one million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 399043 798086 1197129 1368683 1995215 2394258 2737366 3990430 4106049 5985645 6843415 7581817 8212098 11971290 13686830 15163634 20530245 22745451 26004977 37909085 41060490 45490902 52009954 75818170 78014931 113727255 130024885 156029862 227454510 260049770 390074655 780149310 546163370369 1092326740738 1638490111107 2730816851845 3276980222214 5461633703690 8192450555535 10377104037011 16384901111070 20754208074022 31131312111033 51885520185055 62262624222066 103771040370110 155656560555165 311313121110330