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211120220201020 = 225132335839853303
BaseRepresentation
bin110000000000001101000001…
…101110101110000000111100
31000200111220012010210201101121
4300000031001232232000330
5210132443202332413040
62025003142405120324
762316634603405054
oct6000150156560074
91020456163721347
10211120220201020
11612a6645457699
121b81861a6b90a4
1390a57223a8350
143a1c3b7862564
151961ac4be8c4a
hexc00341bae03c

211120220201020 has 96 divisors (see below), whose sum is σ = 498354576556032. Its totient is φ = 74542042637568.

The previous prime is 211120220200991. The next prime is 211120220201141. The reversal of 211120220201020 is 20102022021112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211120220200985 and 211120220201003.

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, 16499689 + ... + 26352991.

It is an arithmetic number, because the mean of its divisors is an integer number (5191193505792).

Almost surely, 2211120220201020 is an apocalyptic number.

211120220201020 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 211120220201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249177288278016).

211120220201020 is an abundant number, since it is smaller than the sum of its proper divisors (287234356355012).

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

211120220201020 is a wasteful number, since it uses less digits than its factorization.

211120220201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856931 (or 9856929 counting only the distinct ones).

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

Adding to 211120220201020 its reverse (20102022021112), we get a palindrome (231222242222132).

The spelling of 211120220201020 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred twenty million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 3583 5980 7166 14332 17915 35830 46579 71660 82409 93158 164818 186316 232895 329636 412045 465790 824090 931580 1071317 1648180 2142634 4285268 5356585 9853303 10713170 19706606 21426340 39413212 49266515 98533030 128092939 197066060 226625969 256185878 453251938 512371756 640464695 906503876 1133129845 1280929390 2266259690 2561858780 2946137597 4532519380 5892275194 11784550388 14730687985 29461375970 35304384649 58922751940 70608769298 141217538596 176521923245 353043846490 458957000437 706087692980 812000846927 917914000874 1624001693854 1835828001748 2294785002185 3248003387708 4060004234635 4589570004370 8120008469270 9179140008740 10556011010051 16240016938540 21112022020102 42224044040204 52780055050255 105560110100510 211120220201020