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2101333000 = 235313161641
BaseRepresentation
bin111110100111111…
…1100110000001000
312102110000202222011
41331033330300020
513300420124000
6544302505304
7103034015164
oct17517746010
95373022864
102101333000
11989169648
124a7895234
13276466810
1415d115ca4
15c472c2ba
hex7d3fcc08

2101333000 has 64 divisors (see below), whose sum is σ = 5295391920. Its totient is φ = 775872000.

The previous prime is 2101332997. The next prime is 2101333027. The reversal of 2101333000 is 3331012.

It can be written as a sum of positive squares in 8 ways, for example, as 14853316 + 2086479684 = 3854^2 + 45678^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 67821 + ... + 93820.

Almost surely, 22101333000 is an apocalyptic number.

2101333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101333000 is an abundant number, since it is smaller than the sum of its proper divisors (3194058920).

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

2101333000 is a wasteful number, since it uses less digits than its factorization.

2101333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161675 (or 161661 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2101333000 is about 45840.2988646453. The cubic root of 2101333000 is about 1280.8500619672.

Adding to 2101333000 its reverse (3331012), we get a palindrome (2104664012).

The spelling of 2101333000 in words is "two billion, one hundred one million, three hundred thirty-three 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 161641 323282 646564 808205 1293128 1616410 2101333 3232820 4041025 4202666 6465640 8082050 8405332 10506665 16164100 16810664 20205125 21013330 32328200 40410250 42026660 52533325 80820500 84053320 105066650 161641000 210133300 262666625 420266600 525333250 1050666500 2101333000