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2311442120 = 23513113139283
BaseRepresentation
bin1000100111000101…
…1100111011001000
312222002101102111102
42021301130323020
514213212121440
61021210120532
7111164635211
oct21161347310
95862342442
102311442120
11a86826749
12546120148
132aab50240
1417cdaa408
15d7dd1b15
hex89c5cec8

2311442120 has 128 divisors (see below), whose sum is σ = 5711126400. Its totient is φ = 836849664.

The previous prime is 2311442083. The next prime is 2311442123. The reversal of 2311442120 is 212441132.

It is a super-2 number, since 2×23114421202 = 10685529348220188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2311442092 and 2311442101.

It is not an unprimeable number, because it can be changed into a prime (2311442123) 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, 8167499 + ... + 8167781.

It is an arithmetic number, because the mean of its divisors is an integer number (44618175).

Almost surely, 22311442120 is an apocalyptic number.

2311442120 is a gapful number since it is divisible by the number (20) 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 2311442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855563200).

2311442120 is an abundant number, since it is smaller than the sum of its proper divisors (3399684280).

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

2311442120 is a wasteful number, since it uses less digits than its factorization.

2311442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2311442120 is about 48077.4595834680. The cubic root of 2311442120 is about 1322.1914393836.

Adding to 2311442120 its reverse (212441132), we get a palindrome (2523883252).

The spelling of 2311442120 in words is "two billion, three hundred eleven million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 139 226 260 278 283 452 520 556 565 566 695 904 1112 1130 1132 1390 1415 1469 1807 2260 2264 2780 2830 2938 3614 3679 4520 5560 5660 5876 7228 7345 7358 9035 11320 11752 14456 14690 14716 15707 18070 18395 29380 29432 31414 31979 36140 36790 39337 58760 62828 63958 72280 73580 78535 78674 125656 127916 147160 157070 157348 159895 196685 204191 255832 314140 314696 319790 393370 408382 415727 511381 628280 639580 786740 816764 831454 1020955 1022762 1279160 1573480 1633528 1662908 2041910 2045524 2078635 2556905 3325816 4083820 4091048 4157270 4445081 5113810 8167640 8314540 8890162 10227620 16629080 17780324 20455240 22225405 35560648 44450810 57786053 88901620 115572106 177803240 231144212 288930265 462288424 577860530 1155721060 2311442120