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1311367320 = 233453710939
BaseRepresentation
bin100111000101001…
…1110000010011000
310101101120100210000
41032022132002120
510141202223240
6334043053000
744332303224
oct11612360230
93341510700
101311367320
1161326174a
12307211160
1317b8b7cc3
14c623d784
157a1d8430
hex4e29e098

1311367320 has 160 divisors (see below), whose sum is σ = 4527190800. Its totient is φ = 340215552.

The previous prime is 1311367319. The next prime is 1311367331. The reversal of 1311367320 is 237631131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114411 + ... + 125349.

Almost surely, 21311367320 is an apocalyptic number.

1311367320 is a gapful number since it is divisible by the number (10) 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 1311367320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263595400).

1311367320 is an abundant number, since it is smaller than the sum of its proper divisors (3215823480).

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

1311367320 is a wasteful number, since it uses less digits than its factorization.

1311367320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1311367320 is about 36212.8060221795. The cubic root of 1311367320 is about 1094.5647359934.

Adding to 1311367320 its reverse (237631131), we get a palindrome (1548998451).

The spelling of 1311367320 in words is "one billion, three hundred eleven million, three hundred sixty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1110 1332 1480 1620 1665 1998 2220 2664 2997 3240 3330 3996 4440 4995 5994 6660 7992 9990 10939 11988 13320 14985 19980 21878 23976 29970 32817 39960 43756 54695 59940 65634 87512 98451 109390 119880 131268 164085 196902 218780 262536 295353 328170 393804 404743 437560 492255 590706 656340 787608 809486 886059 984510 1181412 1214229 1312680 1476765 1618972 1772118 1969020 2023715 2362824 2428458 2953530 3237944 3544236 3642687 3938040 4047430 4430295 4856916 5907060 6071145 7088472 7285374 8094860 8860590 9713832 10928061 11814120 12142290 14570748 16189720 17721180 18213435 21856122 24284580 29141496 32784183 35442360 36426870 43712244 48569160 54640305 65568366 72853740 87424488 109280610 131136732 145707480 163920915 218561220 262273464 327841830 437122440 655683660 1311367320