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212110121011020 = 223585913577303119
BaseRepresentation
bin110000001110100110111100…
…011010101000011101001100
31000211000112022000211010122120
4300032212330122220131030
5210300203011434323040
62031042013331012540
762451310350432351
oct6016467432503514
91024015260733576
10212110121011020
116164844067a671
121b95844243a150
139147b8b2677cb
143a542828c6628
15197c70ea0c7d0
hexc0e9bc6a874c

212110121011020 has 96 divisors (see below), whose sum is σ = 594645490252800. Its totient is φ = 56492504200704.

The previous prime is 212110121010961. The next prime is 212110121011043. The reversal of 212110121011020 is 20110121011212.

It is a happy number.

It is a super-2 number, since 2×2121101210110202 (a number of 29 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 699607021 + ... + 699910139.

It is an arithmetic number, because the mean of its divisors is an integer number (6194223856800).

Almost surely, 2212110121011020 is an apocalyptic number.

212110121011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110121011020 is an abundant number, since it is smaller than the sum of its proper divisors (382535369241780).

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

212110121011020 is a wasteful number, since it uses less digits than its factorization.

212110121011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317567 (or 317565 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212110121011020 its reverse (20110121011212), we get a palindrome (232220242022232).

The spelling of 212110121011020 in words is "two hundred twelve trillion, one hundred ten billion, one hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 859 1718 2577 3436 4295 5154 8590 10308 12885 13577 17180 25770 27154 40731 51540 54308 67885 81462 135770 162924 203655 271540 303119 407310 606238 814620 909357 1212476 1515595 1818714 3031190 3637428 4546785 6062380 9093570 11662643 18187140 23325286 34987929 46650572 58313215 69975858 116626430 139951716 174939645 233252860 260379221 349879290 520758442 699758580 781137663 1041516884 1301896105 1562275326 2603792210 3124550652 3905688315 4115446663 5207584420 7811376630 8230893326 12346339989 15622753260 16461786652 20577233315 24692679978 41154466630 49385359956 61731699945 82308933260 123463399890 246926799780 3535168683517 7070337367034 10605506050551 14140674734068 17675843417585 21211012101102 35351686835170 42422024202204 53027530252755 70703373670340 106055060505510 212110121011020