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211020100 = 22523168071
BaseRepresentation
bin11001001001111…
…10100101000100
3112201001221011021
430210332211010
5413010120400
632534520524
75141432644
oct1444764504
9481057137
10211020100
11a912a585
125a806144
1334945285
1420050524
15137d471a
hexc93e944

211020100 has 36 divisors (see below), whose sum is σ = 472691968. Its totient is φ = 81684000.

The previous prime is 211020091. The next prime is 211020107. The reversal of 211020100 is 1020112.

It is not an unprimeable number, because it can be changed into a prime (211020107) 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 11 ways as a sum of consecutive naturals, for example, 30936 + ... + 37135.

Almost surely, 2211020100 is an apocalyptic number.

211020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020100 is an abundant number, since it is smaller than the sum of its proper divisors (261671868).

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

211020100 is a wasteful number, since it uses less digits than its factorization.

211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68116 (or 68109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 211020100 is about 14526.5309003905. The cubic root of 211020100 is about 595.3530846900.

Adding to 211020100 its reverse (1020112), we get a palindrome (212040212).

The spelling of 211020100 in words is "two hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 68071 136142 272284 340355 680710 1361420 1701775 2110201 3403550 4220402 6807100 8440804 10551005 21102010 42204020 52755025 105510050 211020100