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211020108 = 2231359101227
BaseRepresentation
bin11001001001111…
…10100101001100
3112201001221011120
430210332211030
5413010120413
632534520540
75141432655
oct1444764514
9481057146
10211020108
11a912a592
125a806150
1334945290
142005052c
15137d4723
hexc93e94c

211020108 has 96 divisors (see below), whose sum is σ = 546981120. Its totient is φ = 62918400.

The previous prime is 211020107. The next prime is 211020119. The reversal of 211020108 is 801020112.

211020108 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 (211020107) 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, 929491 + ... + 929717.

It is an arithmetic number, because the mean of its divisors is an integer number (5697720).

Almost surely, 2211020108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490560).

211020108 is an abundant number, since it is smaller than the sum of its proper divisors (335961012).

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

211020108 is a wasteful number, since it uses less digits than its factorization.

211020108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 211020108 is about 14526.5311757487. The cubic root of 211020108 is about 595.3530922135.

The spelling of 211020108 in words is "two hundred eleven million, twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 101 118 156 177 202 227 236 303 354 404 454 606 681 708 767 908 1212 1313 1362 1534 2301 2626 2724 2951 3068 3939 4602 5252 5902 5959 7878 8853 9204 11804 11918 13393 15756 17706 17877 22927 23836 26786 35412 35754 40179 45854 53572 68781 71508 77467 80358 91708 137562 154934 160716 174109 232401 275124 298051 309868 348218 464802 522327 596102 696436 894153 929604 1044654 1192204 1352693 1788306 2089308 2705386 3576612 4058079 5410772 8116158 16232316 17585009 35170018 52755027 70340036 105510054 211020108