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21011002321120 = 2557139134962759
BaseRepresentation
bin1001100011100000000010…
…10101000110100011100000
32202101122001212200202100121
410301300001111012203200
510223221013043233440
6112404153214330024
74265665136661610
oct461600125064340
982348055622317
1021011002321120
1167707970666a9
1224340a61b9914
13b95437b0a556
14528d1b9baa40
1526682749934a
hex131c015468e0

21011002321120 has 96 divisors (see below), whose sum is σ = 57137834073600. Its totient is φ = 7151946471936.

The previous prime is 21011002321009. The next prime is 21011002321121. The reversal of 21011002321120 is 2112320011012.

It is a super-2 number, since 2×210110023211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21011002321094 and 21011002321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011002321121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67325700 + ... + 67637059.

It is an arithmetic number, because the mean of its divisors is an integer number (595185771600).

Almost surely, 221011002321120 is an apocalyptic number.

21011002321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011002321120 is an abundant number, since it is smaller than the sum of its proper divisors (36126831752480).

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

21011002321120 is a wasteful number, since it uses less digits than its factorization.

21011002321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134962920 (or 134962912 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21011002321120 its reverse (2112320011012), we get a palindrome (23123322332132).

The spelling of 21011002321120 in words is "twenty-one trillion, eleven billion, two million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 139 140 160 224 278 280 556 560 695 973 1112 1120 1390 1946 2224 2780 3892 4448 4865 5560 7784 9730 11120 15568 19460 22240 31136 38920 77840 155680 134962759 269925518 539851036 674813795 944739313 1079702072 1349627590 1889478626 2159404144 2699255180 3778957252 4318808288 4723696565 5398510360 7557914504 9447393130 10797020720 15115829008 18759823501 18894786260 21594041440 30231658016 37519647002 37789572520 75039294004 75579145040 93799117505 131318764507 150078588008 151158290080 187598235010 262637529014 300157176016 375196470020 525275058028 600314352032 656593822535 750392940040 1050550116056 1313187645070 1500785880080 2101100232112 2626375290140 3001571760160 4202200464224 5252750580280 10505501160560 21011002321120