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2313421301200 = 245240914140717
BaseRepresentation
bin100001101010100010101…
…001111010010111010000
322012011100022022121202211
4201222202221322113100
5300400341323114300
64530434315121504
7326065510415422
oct41524251722720
98164308277684
102313421301200
11812131017349
12314434143294
1313a201b23a09
147dd822a8812
154029daad4ba
hex21aa2a7a5d0

2313421301200 has 60 divisors (see below), whose sum is σ = 5571584299180. Its totient is φ = 923105940480.

The previous prime is 2313421301173. The next prime is 2313421301203. The reversal of 2313421301200 is 21031243132.

It can be written as a sum of positive squares in 6 ways, for example, as 253415587216 + 2060005713984 = 503404^2 + 1435272^2 .

It is a super-2 number, since 2×23134213012002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313421301203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6906759 + ... + 7233958.

Almost surely, 22313421301200 is an apocalyptic number.

2313421301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313421301200 is an abundant number, since it is smaller than the sum of its proper divisors (3258162997980).

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

2313421301200 is a wasteful number, since it uses less digits than its factorization.

2313421301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14141144 (or 14141133 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2313421301200 its reverse (21031243132), we get a palindrome (2334452544332).

The spelling of 2313421301200 in words is "two trillion, three hundred thirteen billion, four hundred twenty-one million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 409 818 1636 2045 3272 4090 6544 8180 10225 16360 20450 32720 40900 81800 163600 14140717 28281434 56562868 70703585 113125736 141407170 226251472 282814340 353517925 565628680 707035850 1131257360 1414071700 2828143400 5656286800 5783553253 11567106506 23134213012 28917766265 46268426024 57835532530 92536852048 115671065060 144588831325 231342130120 289177662650 462684260240 578355325300 1156710650600 2313421301200