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2313112322120 = 2353110993169691
BaseRepresentation
bin100001101010010000001…
…111010000000001001000
322012010112202220212011012
4201222100033100001020
5300344223223301440
64530343520423052
7326055036220655
oct41522017200110
98163482825135
102313112322120
11811a9266a836
12314368777a88
1313a182b00c62
147dd53238c2c
15402818c8e65
hex21a903d0048

2313112322120 has 64 divisors (see below), whose sum is σ = 5372910282240. Its totient is φ = 895311590400.

The previous prime is 2313112322111. The next prime is 2313112322123. The reversal of 2313112322120 is 212232113132.

It is a super-2 number, since 2×23131123221202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2313112322123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13546475 + ... + 13716165.

It is an arithmetic number, because the mean of its divisors is an integer number (83951723160).

Almost surely, 22313112322120 is an apocalyptic number.

2313112322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313112322120 is an abundant number, since it is smaller than the sum of its proper divisors (3059797960120).

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

2313112322120 is a wasteful number, since it uses less digits than its factorization.

2313112322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180726 (or 180722 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2313112322120 its reverse (212232113132), we get a palindrome (2525344435252).

The spelling of 2313112322120 in words is "two trillion, three hundred thirteen billion, one hundred twelve million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 10993 21986 43972 54965 87944 109930 169691 219860 339382 340783 439720 678764 681566 848455 1357528 1363132 1696910 1703915 2726264 3393820 3407830 5260421 6787640 6815660 10520842 13631320 21041684 26302105 42083368 52604210 105208420 210416840 1865413163 3730826326 7461652652 9327065815 14923305304 18654131630 37308263260 57827808053 74616526520 115655616106 231311232212 289139040265 462622464424 578278080530 1156556161060 2313112322120