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212023111401420 = 223511233478725511
BaseRepresentation
bin110000001101010101111010…
…001111010011111111001100
31000210201012201011212222222020
4300031111322033103333030
5210242241313004321140
62030534023413050140
762442110232106224
oct6015257217237714
91023635634788866
10212023111401420
1161614550a56100
121b9435bb026950
13913c902b43b07
143a4dd8ac0d084
15197a31ae776d0
hexc0d57a3d3fcc

212023111401420 has 144 divisors (see below), whose sum is σ = 652735588748544. Its totient is φ = 51384179369600.

The previous prime is 212023111401403. The next prime is 212023111401421. The reversal of 212023111401420 is 24104111320212.

It is not an unprimeable number, because it can be changed into a prime (212023111401421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19936465 + ... + 28661975.

It is an arithmetic number, because the mean of its divisors is an integer number (4532886032976).

Almost surely, 2212023111401420 is an apocalyptic number.

212023111401420 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 212023111401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326367794374272).

212023111401420 is an abundant number, since it is smaller than the sum of its proper divisors (440712477347124).

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

212023111401420 is a wasteful number, since it uses less digits than its factorization.

212023111401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728892 (or 8728879 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 212023111401420 its reverse (24104111320212), we get a palindrome (236127222721632).

The spelling of 212023111401420 in words is "two hundred twelve trillion, twenty-three billion, one hundred eleven million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3347 3630 6694 7260 10041 13388 16735 20082 33470 36817 40164 50205 66940 73634 100410 110451 147268 184085 200820 220902 368170 404987 441804 552255 736340 809974 1104510 1214961 1619948 2024935 2209020 2429922 4049870 4859844 6074805 8099740 8725511 12149610 17451022 24299220 26176533 34902044 43627555 52353066 87255110 95980621 104706132 130882665 174510220 191961242 261765330 287941863 383922484 479903105 523530660 575883726 959806210 1055786831 1151767452 1439709315 1919612420 2111573662 2879418630 3167360493 4223147324 5278934155 5758837260 6334720986 10557868310 12669441972 15836802465 21115736620 29204285317 31673604930 58408570634 63347209860 87612855951 116817141268 146021426585 175225711902 292042853170 321247138487 350451423804 438064279755 584085706340 642494276974 876128559510 963741415461 1284988553948 1606235692435 1752257119020 1927482830922 3212471384870 3533718523357 3854965661844 4818707077305 6424942769740 7067437046714 9637414154610 10601155570071 14134874093428 17668592616785 19274828309220 21202311140142 35337185233570 42404622280284 53005777850355 70674370467140 106011555700710 212023111401420