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21102101212020 = 223512710332680837
BaseRepresentation
bin1001100110001001101110…
…01111110010101101110100
32202201100012201022220101220
410303010313033302231310
510231214100402241040
6112514101011550340
74305401511531663
oct463046717625564
982640181286356
1021102101212020
1167a6395004794
12244988abbb3b0
13ba0bc54b271a
1452d4c0808dda
15268daa03d2d0
hex1331373f2b74

21102101212020 has 96 divisors (see below), whose sum is σ = 59608797523968. Its totient is φ = 5577511468032.

The previous prime is 21102101211979. The next prime is 21102101212079. The reversal of 21102101212020 is 2021210120112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6531042 + ... + 9211878.

It is an arithmetic number, because the mean of its divisors is an integer number (620924974208).

Almost surely, 221102101212020 is an apocalyptic number.

21102101212020 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 21102101212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804398761984).

21102101212020 is an abundant number, since it is smaller than the sum of its proper divisors (38506696311948).

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

21102101212020 is a wasteful number, since it uses less digits than its factorization.

21102101212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682009 (or 2682007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21102101212020 its reverse (2021210120112), we get a palindrome (23123311332132).

The spelling of 21102101212020 in words is "twenty-one trillion, one hundred two billion, one hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1033 1270 1524 1905 2066 2540 3099 3810 4132 5165 6198 7620 10330 12396 15495 20660 30990 61980 131191 262382 393573 524764 655955 787146 1311910 1574292 1967865 2623820 2680837 3935730 5361674 7871460 8042511 10723348 13404185 16085022 26808370 32170044 40212555 53616740 80425110 160850220 340466299 680932598 1021398897 1361865196 1702331495 2042797794 2769304621 3404662990 4085595588 5106994485 5538609242 6809325980 8307913863 10213988970 11077218484 13846523105 16615827726 20427977940 27693046210 33231655452 41539569315 55386092420 83079138630 166158277260 351701686867 703403373734 1055105060601 1406806747468 1758508434335 2110210121202 3517016868670 4220420242404 5275525303005 7034033737340 10551050606010 21102101212020