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211001101210020 = 223511463690493819
BaseRepresentation
bin101111111110011110000101…
…101011110101000110100100
31000200002111201112102000001010
4233332132011223311012210
5210124020223402210040
62024432322343502220
762305216662604032
oct5776360553650644
91020074645360033
10211001101210020
1161260078933690
121b7b9515a57970
13909741a8985a4
143a16717531552
15195d95226ce80
hexbfe785af51a4

211001101210020 has 96 divisors (see below), whose sum is σ = 645904491079680. Its totient is φ = 51041303026560.

The previous prime is 211001101210001. The next prime is 211001101210049. The reversal of 211001101210020 is 20012101100112.

It is a super-2 number, since 2×2110011012100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211001101209978 and 211001101210005.

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, 344941330 + ... + 345552489.

It is an arithmetic number, because the mean of its divisors is an integer number (6728171782080).

Almost surely, 2211001101210020 is an apocalyptic number.

211001101210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001101210020 is an abundant number, since it is smaller than the sum of its proper divisors (434903389869660).

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

211001101210020 is a wasteful number, since it uses less digits than its factorization.

211001101210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690494305 (or 690494303 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211001101210020 its reverse (20012101100112), we get a palindrome (231013202310132).

The spelling of 211001101210020 in words is "two hundred eleven trillion, one billion, one hundred one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 463 660 926 1389 1852 2315 2778 4630 5093 5556 6945 9260 10186 13890 15279 20372 25465 27780 30558 50930 61116 76395 101860 152790 305580 690493819 1380987638 2071481457 2761975276 3452469095 4142962914 6904938190 7595432009 8285925828 10357407285 13809876380 15190864018 20714814570 22786296027 30381728036 37977160045 41429629140 45572592054 75954320090 91145184108 113931480135 151908640180 227862960270 319698638197 455725920540 639397276394 959095914591 1278794552788 1598493190985 1918191829182 3196986381970 3516685020167 3836383658364 4795479572955 6393972763940 7033370040334 9590959145910 10550055060501 14066740080668 17583425100835 19181918291820 21100110121002 35166850201670 42200220242004 52750275302505 70333700403340 105500550605010 211001101210020