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212002000032 = 2533895677003
BaseRepresentation
bin1100010101110001001…
…1011100110010100000
3202021012210011110101010
43011130103130302200
511433140003000112
6241220430340520
721213415160514
oct3053423346240
9667183143333
10212002000032
1181a00669499
123510705a740
1316cb7a04144
14a3920a0144
1557abe8c63c
hex315c4dcca0

212002000032 has 48 divisors (see below), whose sum is σ = 557935953120. Its totient is φ = 70485656832.

The previous prime is 212002000031. The next prime is 212002000033. The reversal of 212002000032 is 230000200212.

It is an interprime number because it is at equal distance from previous prime (212002000031) and next prime (212002000033).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 212001999981 and 212002000017.

It is not an unprimeable number, because it can be changed into a prime (212002000031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2801158 + ... + 2875845.

It is an arithmetic number, because the mean of its divisors is an integer number (11623665690).

Almost surely, 2212002000032 is an apocalyptic number.

It is an amenable number.

212002000032 is an abundant number, since it is smaller than the sum of its proper divisors (345933953088).

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

212002000032 is a wasteful number, since it uses less digits than its factorization.

212002000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677405 (or 5677397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 212002000032 its reverse (230000200212), we get a palindrome (442002200244).

The spelling of 212002000032 in words is "two hundred twelve billion, two million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 389 778 1167 1556 2334 3112 4668 6224 9336 12448 18672 37344 5677003 11354006 17031009 22708012 34062018 45416024 68124036 90832048 136248072 181664096 272496144 544992288 2208354167 4416708334 6625062501 8833416668 13250125002 17666833336 26500250004 35333666672 53000500008 70667333344 106001000016 212002000032