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211012021020 = 223597148124481
BaseRepresentation
bin1100010010000101001…
…0111110101100011100
3202011122210100022110210
43010201102332230130
511424123034133040
6240534303532420
721150034404363
oct3044122765434
9664583308423
10211012021020
118154286a619
1234a8b5ba110
1316b8a895248
14a2da8007da
1557500da480
hex31214beb1c

211012021020 has 96 divisors (see below), whose sum is σ = 597352182336. Its totient is φ = 55649894400.

The previous prime is 211012021007. The next prime is 211012021027. The reversal of 211012021020 is 20120210112.

211012021020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 211012020987 and 211012021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012021027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8607180 + ... + 8631660.

It is an arithmetic number, because the mean of its divisors is an integer number (6222418566).

Almost surely, 2211012021020 is an apocalyptic number.

211012021020 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 211012021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298676091168).

211012021020 is an abundant number, since it is smaller than the sum of its proper divisors (386340161316).

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

211012021020 is a wasteful number, since it uses less digits than its factorization.

211012021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26071 (or 26069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211012021020 its reverse (20120210112), we get a palindrome (231132231132).

The spelling of 211012021020 in words is "two hundred eleven billion, twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1481 1940 2910 2962 4443 5820 5924 7405 8886 14810 17772 22215 24481 29620 44430 48962 73443 88860 97924 122405 143657 146886 244810 287314 293772 367215 430971 489620 574628 718285 734430 861942 1436570 1468860 1723884 2154855 2374657 2873140 4309710 4749314 7123971 8619420 9498628 11873285 14247942 23746570 28495884 35619855 36256361 47493140 71239710 72512722 108769083 142479420 145025444 181281805 217538166 362563610 435076332 543845415 725127220 1087690830 2175381660 3516867017 7033734034 10550601051 14067468068 17584335085 21101202102 35168670170 42202404204 52753005255 70337340340 105506010510 211012021020