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2100073671 = 32594199439
BaseRepresentation
bin111110100101100…
…1001010011000111
312102100122210111100
41331023021103013
513300104324141
6544215511143
7103020221523
oct17513112307
95370583440
102100073671
11988489483
124a73884b3
13276115557
1415cca8d83
15c457e0b6
hex7d2c94c7

2100073671 has 24 divisors (see below), whose sum is σ = 3092544000. Its totient is φ = 1372889232.

The previous prime is 2100073621. The next prime is 2100073681. The reversal of 2100073671 is 1763700012.

It is not a de Polignac number, because 2100073671 - 26 = 2100073607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100073621) 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 23 ways as a sum of consecutive naturals, for example, 217770 + ... + 227208.

It is an arithmetic number, because the mean of its divisors is an integer number (128856000).

Almost surely, 22100073671 is an apocalyptic number.

2100073671 is a deficient number, since it is larger than the sum of its proper divisors (992470329).

2100073671 is a wasteful number, since it uses less digits than its factorization.

2100073671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2100073671 is about 45826.5607590183. The cubic root of 2100073671 is about 1280.5941396612.

Adding to 2100073671 its reverse (1763700012), we get a palindrome (3863773683).

The spelling of 2100073671 in words is "two billion, one hundred million, seventy-three thousand, six hundred seventy-one".

Divisors: 1 3 9 59 177 419 531 1257 3771 9439 24721 28317 74163 84951 222489 556901 1670703 3954941 5012109 11864823 35594469 233341519 700024557 2100073671