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213332210020 = 22511057964693
BaseRepresentation
bin1100011010101110010…
…1110011000101100100
3202101122111012010102201
43012223211303011210
511443401021210040
6242000425344244
721261366602656
oct3065345630544
9671574163381
10213332210020
118252351a996
1235418638084
131716a488847
14a47aa066d6
155838b48a9a
hex31ab973164

213332210020 has 24 divisors (see below), whose sum is σ = 448038622584. Its totient is φ = 85325078016.

The previous prime is 213332210011. The next prime is 213332210081. The reversal of 213332210020 is 20012233312.

213332210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1039804516 + 212292405504 = 32246^2 + 460752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213332210020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261207 + ... + 703486.

It is an arithmetic number, because the mean of its divisors is an integer number (18668275941).

Almost surely, 2213332210020 is an apocalyptic number.

213332210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332210020 is an abundant number, since it is smaller than the sum of its proper divisors (234706412564).

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

213332210020 is a wasteful number, since it uses less digits than its factorization.

213332210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975759 (or 975757 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213332210020 its reverse (20012233312), we get a palindrome (233344443332).

The spelling of 213332210020 in words is "two hundred thirteen billion, three hundred thirty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 11057 22114 44228 55285 110570 221140 964693 1929386 3858772 4823465 9646930 19293860 10666610501 21333221002 42666442004 53333052505 106666105010 213332210020