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1311423440120 = 235233761631573
BaseRepresentation
bin10011000101010110111…
…011011010010011111000
311122101000100120100002222
4103011112323122103320
5132441243400040440
62442243135343212
7163514203213463
oct23052673322370
94571010510088
101311423440120
114661983858a2
121921b5081b08
139688897c571
144768a7a22da
15241a6c582b5
hex13156eda4f8

1311423440120 has 128 divisors (see below), whose sum is σ = 3214054823040. Its totient is φ = 480196823040.

The previous prime is 1311423440021. The next prime is 1311423440123. The reversal of 1311423440120 is 210443241131.

It is a super-2 number, since 2×13114234401202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1311423440120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311423440123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1760654 + ... + 2392226.

It is an arithmetic number, because the mean of its divisors is an integer number (25109803305).

Almost surely, 21311423440120 is an apocalyptic number.

1311423440120 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 1311423440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607027411520).

1311423440120 is an abundant number, since it is smaller than the sum of its proper divisors (1902631382920).

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

1311423440120 is a wasteful number, since it uses less digits than its factorization.

1311423440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631705 (or 631701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1311423440120 its reverse (210443241131), we get a palindrome (1521866681251).

The spelling of 1311423440120 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 61 74 92 115 122 148 184 185 230 244 296 305 370 460 488 610 740 851 920 1220 1403 1480 1702 2257 2440 2806 3404 4255 4514 5612 6808 7015 8510 9028 11224 11285 14030 17020 18056 22570 28060 34040 45140 51911 56120 90280 103822 207644 259555 415288 519110 631573 1038220 1263146 2076440 2526292 3157865 5052584 6315730 12631460 14526179 23368201 25262920 29052358 38525953 46736402 58104716 72630895 77051906 93472804 116209432 116841005 145261790 154103812 186945608 192629765 233682010 290523580 308207624 385259530 467364020 537468623 581047160 770519060 886096919 934728040 1074937246 1425460261 1541038120 1772193838 2149874492 2687343115 2850920522 3544387676 4299748984 4430484595 5374686230 5701841044 7088775352 7127301305 8860969190 10749372460 11403682088 14254602610 17721938380 21498744920 28509205220 32785586003 35443876760 57018410440 65571172006 131142344012 163927930015 262284688024 327855860030 655711720060 1311423440120