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211910485100 = 22523168358221
BaseRepresentation
bin1100010101011011011…
…0010110010001101100
3202020222101222000111012
43011112312112101230
511432443041010400
6241203401044352
721211224255236
oct3052666262154
9666871860435
10211910485100
1181963a42a16
12350a04866b8
1316ca1a717b2
14a383c7b256
1557a3e11d35
hex3156d9646c

211910485100 has 36 divisors (see below), whose sum is σ = 474679493568. Its totient is φ = 82029864000.

The previous prime is 211910485093. The next prime is 211910485109. The reversal of 211910485100 is 1584019112.

211910485100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211910485109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34176011 + ... + 34182210.

It is an arithmetic number, because the mean of its divisors is an integer number (13185541488).

Almost surely, 2211910485100 is an apocalyptic number.

211910485100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211910485100 is an abundant number, since it is smaller than the sum of its proper divisors (262769008468).

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

211910485100 is a wasteful number, since it uses less digits than its factorization.

211910485100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68358266 (or 68358259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 32.

The spelling of 211910485100 in words is "two hundred eleven billion, nine hundred ten million, four hundred eighty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 68358221 136716442 273432884 341791105 683582210 1367164420 1708955525 2119104851 3417911050 4238209702 6835822100 8476419404 10595524255 21191048510 42382097020 52977621275 105955242550 211910485100