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211200132 = 2231113123077
BaseRepresentation
bin11001001011010…
…10100010000100
3112201102002010010
430211222202010
5413031401012
632542430220
75143112553
oct1445524204
9481362103
10211200132
11a9242870
125a892370
13349a91c0
1420099d9a
151381cc3c
hexc96a884

211200132 has 48 divisors (see below), whose sum is σ = 578958912. Its totient is φ = 59076480.

The previous prime is 211200103. The next prime is 211200149. The reversal of 211200132 is 231002112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59823 + ... + 63254.

It is an arithmetic number, because the mean of its divisors is an integer number (12061644).

Almost surely, 2211200132 is an apocalyptic number.

211200132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211200132 is an abundant number, since it is smaller than the sum of its proper divisors (367758780).

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

211200132 is a wasteful number, since it uses less digits than its factorization.

211200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123108 (or 123106 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211200132 is about 14532.7262411428. The cubic root of 211200132 is about 595.5223452486.

Adding to 211200132 its reverse (231002112), we get a palindrome (442202244).

It can be divided in two parts, 211200 and 132, that multiplied together give a square (27878400 = 52802).

The spelling of 211200132 in words is "two hundred eleven million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 123077 246154 369231 492308 738462 1353847 1476924 1600001 2707694 3200002 4061541 4800003 5415388 6400004 8123082 9600006 16246164 17600011 19200012 35200022 52800033 70400044 105600066 211200132