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21132301000 = 235321132301
BaseRepresentation
bin10011101011100101…
…010101001011001000
32000112202011010012211
4103223211111023020
5321234332113000
613412534314504
71345451410666
oct235345251310
960482133184
1021132301000
118a646a6578
1241191b8a34
131cba157a25
141046831c36
1583a3827ba
hex4eb9552c8

21132301000 has 32 divisors (see below), whose sum is σ = 49449586680. Its totient is φ = 8452920000.

The previous prime is 21132300997. The next prime is 21132301037. The reversal of 21132301000 is 10323112.

It can be written as a sum of positive squares in 4 ways, for example, as 7137884196 + 13994416804 = 84486^2 + 118298^2 .

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 7 ways as a sum of consecutive naturals, for example, 10565151 + ... + 10567150.

Almost surely, 221132301000 is an apocalyptic number.

21132301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132301000 is an abundant number, since it is smaller than the sum of its proper divisors (28317285680).

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

21132301000 is a wasteful number, since it uses less digits than its factorization.

21132301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132322 (or 21132308 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21132301000 its reverse (10323112), we get a palindrome (21142624112).

The spelling of 21132301000 in words is "twenty-one billion, one hundred thirty-two million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 21132301 42264602 84529204 105661505 169058408 211323010 422646020 528307525 845292040 1056615050 2113230100 2641537625 4226460200 5283075250 10566150500 21132301000