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211131232032 = 25372313660147
BaseRepresentation
bin1100010010100001100…
…1101110111100100000
3202011222002122212020110
43010220121232330200
511424344043411112
6240554203011320
721153012601350
oct3045031567440
9664862585213
10211131232032
11815a4092616
1234b03509b40
1316ba94a3cc6
14a30c592b60
15575a7d713c
hex312866ef20

211131232032 has 96 divisors (see below), whose sum is σ = 660932600832. Its totient is φ = 57700456704.

The previous prime is 211131231979. The next prime is 211131232043. The reversal of 211131232032 is 230232131112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6814618 + ... + 6845529.

It is an arithmetic number, because the mean of its divisors is an integer number (6884714592).

Almost surely, 2211131232032 is an apocalyptic number.

It is an amenable number.

211131232032 is an abundant number, since it is smaller than the sum of its proper divisors (449801368800).

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

211131232032 is a wasteful number, since it uses less digits than its factorization.

211131232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660190 (or 13660182 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211131232032 its reverse (230232131112), we get a palindrome (441363363144).

The spelling of 211131232032 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 13660147 27320294 40980441 54640588 81960882 95621029 109281176 163921764 191242058 218562352 286863087 314183381 327843528 382484116 437124704 573726174 628366762 655687056 764968232 942550143 1147452348 1256733524 1311374112 1529936464 1885100286 2199283667 2294904696 2513467048 3059872928 3770200572 4398567334 4589809392 5026934096 6597851001 7540401144 8797134668 9179618784 10053868192 13195702002 15080802288 17594269336 26391404004 30161604576 35188538672 52782808008 70377077344 105565616016 211131232032