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211021021220 = 225719101914401
BaseRepresentation
bin1100010010000111010…
…1010100000000100100
3202011200102021120102112
43010201311110000210
511424132340134340
6240535224500152
721150204041132
oct3044165240044
9664612246375
10211021021220
11815479575a9
1234a9261a658
1316b8c6c69c9
14a2dbaa4752
155750cb7065
hex3121d54024

211021021220 has 48 divisors (see below), whose sum is σ = 444226809600. Its totient is φ = 84202444800.

The previous prime is 211021021213. The next prime is 211021021229. The reversal of 211021021220 is 22120120112.

211021021220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211021021195 and 211021021204.

It is not an unprimeable number, because it can be changed into a prime (211021021229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14646020 + ... + 14660420.

It is an arithmetic number, because the mean of its divisors is an integer number (9254725200).

Almost surely, 2211021021220 is an apocalyptic number.

211021021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021021220 is an abundant number, since it is smaller than the sum of its proper divisors (233205788380).

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

211021021220 is a wasteful number, since it uses less digits than its factorization.

211021021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16148 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211021021220 its reverse (22120120112), we get a palindrome (233141141332).

The spelling of 211021021220 in words is "two hundred eleven billion, twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 719 1019 1438 2038 2876 3595 4076 5095 7190 10190 14380 14401 20380 28802 57604 72005 144010 288020 732661 1465322 2930644 3663305 7326610 10354319 14653220 14674619 20708638 29349238 41417276 51771595 58698476 73373095 103543190 146746190 207086380 293492380 10551051061 21102102122 42204204244 52755255305 105510510610 211021021220