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211443401000 = 23531316264877
BaseRepresentation
bin1100010011101100000…
…0100100000100101000
3202012202212001200120002
43010323000210010220
511431014002313000
6241045153522132
721163523153066
oct3047300440450
9665685050502
10211443401000
11817443187a7
1234b8bb73348
1316c29072980
14a33bc13036
155777deb8d5
hex313b024128

211443401000 has 64 divisors (see below), whose sum is σ = 532837403280. Its totient is φ = 78071404800.

The previous prime is 211443400979. The next prime is 211443401087. The reversal of 211443401000 is 104344112.

It can be written as a sum of positive squares in 8 ways, for example, as 3177125956 + 208266275044 = 56366^2 + 456362^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8119439 + ... + 8145438.

Almost surely, 2211443401000 is an apocalyptic number.

211443401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211443401000 is an abundant number, since it is smaller than the sum of its proper divisors (321394002280).

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

211443401000 is a wasteful number, since it uses less digits than its factorization.

211443401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264911 (or 16264897 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211443401000 its reverse (104344112), we get a palindrome (211547745112).

The spelling of 211443401000 in words is "two hundred eleven billion, four hundred forty-three million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 16264877 32529754 65059508 81324385 130119016 162648770 211443401 325297540 406621925 422886802 650595080 813243850 845773604 1057217005 1626487700 1691547208 2033109625 2114434010 3252975400 4066219250 4228868020 5286085025 8132438500 8457736040 10572170050 16264877000 21144340100 26430425125 42288680200 52860850250 105721700500 211443401000