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21251303042240 = 2651511019431603
BaseRepresentation
bin1001101010011111101000…
…10111100110110011000000
32210020121022211220012011202
410311033310113212303000
510241140132034322430
6113110414105000332
74322233046261435
oct465176427466300
983217284805152
1021251303042240
116853699602097
12247278a4830a8
13bb1cb25a006b
145367d6189b8c
1526cbdda07d45
hex1353f45e6cc0

21251303042240 has 112 divisors (see below), whose sum is σ = 50989903729920. Its totient is φ = 8435920051200.

The previous prime is 21251303042239. The next prime is 21251303042261. The reversal of 21251303042240 is 4224030315212.

21251303042240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49022279 + ... + 49453881.

Almost surely, 221251303042240 is an apocalyptic number.

21251303042240 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 21251303042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25494951864960).

21251303042240 is an abundant number, since it is smaller than the sum of its proper divisors (29738600687680).

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

21251303042240 is a wasteful number, since it uses less digits than its factorization.

21251303042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432790 (or 432780 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 21251303042240 its reverse (4224030315212), we get a palindrome (25475333357452).

The spelling of 21251303042240 in words is "twenty-one trillion, two hundred fifty-one billion, three hundred three million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 1019 1208 1510 2038 2416 3020 4076 4832 5095 6040 8152 9664 10190 12080 16304 20380 24160 32608 40760 48320 65216 81520 153869 163040 307738 326080 431603 615476 769345 863206 1230952 1538690 1726412 2158015 2461904 3077380 3452824 4316030 4923808 6154760 6905648 8632060 9847616 12309520 13811296 17264120 24619040 27622592 34528240 49238080 65172053 69056480 130344106 138112960 260688212 325860265 439803457 521376424 651720530 879606914 1042752848 1303441060 1759213828 2085505696 2199017285 2606882120 3518427656 4171011392 4398034570 5213764240 7036855312 8796069140 10427528480 14073710624 17592138280 20855056960 28147421248 35184276560 66410322007 70368553120 132820644014 140737106240 265641288028 332051610035 531282576056 664103220070 1062565152112 1328206440140 2125130304224 2656412880280 4250260608448 5312825760560 10625651521120 21251303042240