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21102110021120 = 29524173410431
BaseRepresentation
bin1001100110001001101111…
…10001011001011000000000
32202201100020022220110012212
410303010313301121120000
510231214110131133440
6112514101524441252
74305401646441332
oct463046761313000
982640208813185
1021102110021120
1167a6399a81137
122449891b49228
13ba0bc72781cb
1452d4c1a5d452
15268daabcd465
hex133137c59600

21102110021120 has 80 divisors (see below), whose sum is σ = 50616554047488. Its totient is φ = 8437349253120.

The previous prime is 21102110021099. The next prime is 21102110021137. The reversal of 21102110021120 is 2112001120112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21102110021095 and 21102110021104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4482305 + ... + 7892735.

Almost surely, 221102110021120 is an apocalyptic number.

21102110021120 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 21102110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25308277023744).

21102110021120 is an abundant number, since it is smaller than the sum of its proper divisors (29514444026368).

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

21102110021120 is an equidigital number, since it uses as much as digits as its factorization.

21102110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412871 (or 3412855 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21102110021120 its reverse (2112001120112), we get a palindrome (23214111141232).

The spelling of 21102110021120 in words is "twenty-one trillion, one hundred two billion, one hundred ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2417 2560 4834 9668 12085 19336 24170 38672 48340 77344 96680 154688 193360 309376 386720 618752 773440 1237504 1546880 3093760 3410431 6187520 6820862 13641724 17052155 27283448 34104310 54566896 68208620 109133792 136417240 218267584 272834480 436535168 545668960 873070336 1091337920 1746140672 2182675840 4365351680 8243011727 8730703360 16486023454 32972046908 41215058635 65944093816 82430117270 131888187632 164860234540 263776375264 329720469080 527552750528 659440938160 1055105501056 1318881876320 2110211002112 2637763752640 4220422004224 5275527505280 10551055010560 21102110021120