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1311431330 = 2511293741271
BaseRepresentation
bin100111000101010…
…1101101010100010
310101101200121120202
41032022231222202
510141211300310
6334044305202
744332660646
oct11612555242
93341617522
101311431330
116132a5850
12307242202
1317b90b191
14c6258c26
157a1ec3a5
hex4e2adaa2

1311431330 has 128 divisors (see below), whose sum is σ = 2813045760. Its totient is φ = 435456000.

The previous prime is 1311431321. The next prime is 1311431389. The reversal of 1311431330 is 331341131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4839095 + ... + 4839365.

It is an arithmetic number, because the mean of its divisors is an integer number (21976920).

Almost surely, 21311431330 is an apocalyptic number.

1311431330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311431330 is an abundant number, since it is smaller than the sum of its proper divisors (1501614430).

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

1311431330 is a wasteful number, since it uses less digits than its factorization.

1311431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1311431330 is about 36213.6898147648. The cubic root of 1311431330 is about 1094.5825448732.

Adding to 1311431330 its reverse (331341131), we get a palindrome (1642772461).

It can be divided in two parts, 13114 and 31330, that added together give a palindrome (44444).

The spelling of 1311431330 in words is "one billion, three hundred eleven million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 29 37 41 55 58 74 82 110 145 185 205 271 290 319 370 407 410 451 542 638 814 902 1073 1189 1355 1517 1595 2035 2146 2255 2378 2710 2981 3034 3190 4070 4510 5365 5945 5962 7585 7859 10027 10730 11111 11803 11890 13079 14905 15170 15718 16687 20054 22222 23606 26158 29810 33374 39295 43993 50135 55555 59015 65395 78590 83435 86449 87986 100270 110297 111110 118030 122221 130790 166870 172898 219965 220594 244442 290783 322219 411107 432245 439930 483923 551485 581566 611105 644438 822214 864490 967846 1102970 1222210 1453915 1611095 2055535 2419615 2907830 3198613 3222190 3544409 4111070 4522177 4839230 6397226 7088818 9044354 11922103 15993065 17722045 22610885 23844206 31986130 35444090 45221770 59610515 119221030 131143133 262286266 655715665 1311431330