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211211022200020 = 225235631783457403
BaseRepresentation
bin110000000001100001100101…
…111100110110110011010100
31000200211120120021210012022121
4300001201211330312303110
5210140440133140400040
62025113000515105324
762326331011562113
oct6001414574666324
91020746507705277
10211211022200020
1161331100854477
121b83213bba2244
1390b116340033b
143a2294d089c7a
15196413b694c4a
hexc01865f36cd4

211211022200020 has 96 divisors (see below), whose sum is σ = 463910758520832. Its totient is φ = 80622218083968.

The previous prime is 211211022200011. The next prime is 211211022200033. The reversal of 211211022200020 is 20002220112112.

It is a happy number.

It is a super-2 number, since 2×2112110222000202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211022199967 and 211211022200003.

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, 461532639 + ... + 461990041.

It is an arithmetic number, because the mean of its divisors is an integer number (4832403734592).

Almost surely, 2211211022200020 is an apocalyptic number.

211211022200020 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 211211022200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231955379260416).

211211022200020 is an abundant number, since it is smaller than the sum of its proper divisors (252699736320812).

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

211211022200020 is a wasteful number, since it uses less digits than its factorization.

211211022200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459781 (or 459779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211211022200020 its reverse (20002220112112), we get a palindrome (231213242312132).

The spelling of 211211022200020 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 563 1126 1783 2252 2815 3566 5630 7132 8915 11260 12949 17830 25898 35660 41009 51796 64745 82018 129490 164036 205045 258980 410090 457403 820180 914806 1003829 1829612 2007658 2287015 4015316 4574030 5019145 9148060 10038290 10520269 20076580 21040538 23088067 42081076 46176134 52601345 92352268 105202690 115440335 210405380 230880670 257517889 461761340 515035778 815549549 1030071556 1287589445 1631099098 2575178890 3262198196 4077747745 5150357780 5922911447 8155495490 11845822894 16310990980 18757639627 23691645788 29614557235 37515279254 59229114470 75030558508 93788198135 118458228940 187576396270 375152792540 459154396087 918308792174 1836617584348 2295771980435 4591543960870 9183087921740 10560551110001 21121102220002 42242204440004 52802755550005 105605511100010 211211022200020