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211300441220 = 225115231836437
BaseRepresentation
bin1100010011001001111…
…1001101110010000100
3202012101220001120121102
43010302133031302010
511430220403104340
6241023045435232
721160136054531
oct3046237156204
9665356046542
10211300441220
1181680654a20
1234b5010bb18
1316c0556a39b
14a326c3bd88
15576a5ad215
hex31327cdc84

211300441220 has 48 divisors (see below), whose sum is σ = 484995930048. Its totient is φ = 76689567360.

The previous prime is 211300441193. The next prime is 211300441273. The reversal of 211300441220 is 22144003112.

211300441220 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 211300441192 and 211300441201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803159 + ... + 1033278.

It is an arithmetic number, because the mean of its divisors is an integer number (10104081876).

Almost surely, 2211300441220 is an apocalyptic number.

211300441220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300441220 is an abundant number, since it is smaller than the sum of its proper divisors (273695488828).

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

211300441220 is a wasteful number, since it uses less digits than its factorization.

211300441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836980 (or 1836978 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211300441220 its reverse (22144003112), we get a palindrome (233444444332).

The spelling of 211300441220 in words is "two hundred eleven billion, three hundred million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 523 1046 2092 2615 5230 5753 10460 11506 23012 28765 57530 115060 1836437 3672874 7345748 9182185 18364370 20200807 36728740 40401614 80803228 101004035 202008070 404016140 960456551 1920913102 3841826204 4802282755 9604565510 10565022061 19209131020 21130044122 42260088244 52825110305 105650220610 211300441220