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23323121031200 = 2552291005306941
BaseRepresentation
bin1010100110110010101100…
…10110000001100000100000
310001120200001101221220000212
411103121112112001200200
511024111222440444300
6121334254402433252
74625016452515514
oct523312626014040
9101520041856025
1023323121031200
117482309875a61
122748216062828
13100248cac9a93
145a8bb8c8c144
152a6a4ba04935
hex153656581820

23323121031200 has 72 divisors (see below), whose sum is σ = 58900933731780. Its totient is φ = 9007550182400.

The previous prime is 23323121031191. The next prime is 23323121031251. The reversal of 23323121031200 is 213012132332.

It can be written as a sum of positive squares in 6 ways, for example, as 12760127025424 + 10562994005776 = 3572132^2 + 3250076^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502630271 + ... + 502676670.

Almost surely, 223323121031200 is an apocalyptic number.

23323121031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23323121031200 is an abundant number, since it is smaller than the sum of its proper divisors (35577812700580).

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

23323121031200 is a wasteful number, since it uses less digits than its factorization.

23323121031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005306990 (or 1005306977 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 23323121031200 its reverse (213012132332), we get a palindrome (23536133163532).

The spelling of 23323121031200 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred twenty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 1005306941 2010613882 4021227764 5026534705 8042455528 10053069410 16084911056 20106138820 25132673525 29153901289 32169822112 40212277640 50265347050 58307802578 80424555280 100530694100 116615605156 145769506445 160849110560 201061388200 233231210312 291539012890 402122776400 466462420624 583078025780 728847532225 804245552800 932924841248 1166156051560 1457695064450 2332312103120 2915390128900 4664624206240 5830780257800 11661560515600 23323121031200