Search a number
-
+
1311031220310 = 232572297285991
BaseRepresentation
bin10011000100111111100…
…011001101100001010110
311122100000000112111200100
4103010333203031201112
5132434442443022220
62442140204554530
7163501401334500
oct23047743154126
94570000474610
101311031220310
11466006a44299
12192105852a46
1396825633336
1447650664d70
15241825ced90
hex1313f8cd856

1311031220310 has 72 divisors (see below), whose sum is σ = 3965200561296. Its totient is φ = 299664277920.

The previous prime is 1311031220273. The next prime is 1311031220347. The reversal of 1311031220310 is 130221301131.

1311031220310 is a `hidden beast` number, since 1 + 31 + 10 + 312 + 2 + 0 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (1311031220273) and next prime (1311031220347).

It is a super-2 number, since 2×13110312203102 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148638586 + ... + 148647405.

It is an arithmetic number, because the mean of its divisors is an integer number (55072230018).

Almost surely, 21311031220310 is an apocalyptic number.

1311031220310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311031220310 is an abundant number, since it is smaller than the sum of its proper divisors (2654169340986).

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

1311031220310 is a wasteful number, since it uses less digits than its factorization.

1311031220310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297286018 (or 297286008 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311031220310 its reverse (130221301131), we get a palindrome (1441252521441).

The spelling of 1311031220310 in words is "one trillion, three hundred eleven billion, thirty-one million, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 297285991 594571982 891857973 1486429955 1783715946 2081001937 2675573919 2972859910 4162003874 4459289865 5351147838 6243005811 8918579730 10405009685 12486011622 13377869595 14567013559 18729017433 20810019370 26755739190 29134027118 31215029055 37458034866 43701040677 62430058110 72835067795 87402081354 93645087165 131103122031 145670135590 187290174330 218505203385 262206244062 437010406770 655515610155 1311031220310