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23320121142400 = 275222732103691
BaseRepresentation
bin1010100110101101000111…
…00010010110110010000000
310001120101022100010202020021
411103112203202112302000
511024034102003024100
6121333041000423224
74624552225055155
oct523264342266200
9101511270122207
1023320121142400
11748100a481115
122747719477b14
131002102454054
145a89b26b422c
152a6923483a1a
hex1535a3896c80

23320121142400 has 96 divisors (see below), whose sum is σ = 57861768239280. Its totient is φ = 9286955443200.

The previous prime is 23320121142389. The next prime is 23320121142407. The reversal of 23320121142400 is 424112102332.

It is a super-2 number, since 2×233201211424002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23320121142407) 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, 15325446 + ... + 16778245.

Almost surely, 223320121142400 is an apocalyptic number.

23320121142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23320121142400 is an abundant number, since it is smaller than the sum of its proper divisors (34541647096880).

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

23320121142400 is a wasteful number, since it uses less digits than its factorization.

23320121142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32103942 (or 32103925 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 23320121142400 its reverse (424112102332), we get a palindrome (23744233244732).

The spelling of 23320121142400 in words is "twenty-three trillion, three hundred twenty billion, one hundred twenty-one million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 227 320 400 454 640 800 908 1135 1600 1816 2270 3200 3632 4540 5675 7264 9080 11350 14528 18160 22700 29056 36320 45400 72640 90800 145280 181600 363200 726400 32103691 64207382 128414764 160518455 256829528 321036910 513659056 642073820 802592275 1027318112 1284147640 1605184550 2054636224 2568295280 3210369100 4109272448 5136590560 6420738200 7287537857 10273181120 12841476400 14575075714 20546362240 25682952800 29150151428 36437689285 51365905600 58300302856 72875378570 102731811200 116600605712 145750757140 182188446425 233201211424 291501514280 364376892850 466402422848 583003028560 728753785700 932804845696 1166006057120 1457507571400 2332012114240 2915015142800 4664024228480 5830030285600 11660060571200 23320121142400