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2021785117 = 111937534933
BaseRepresentation
bin111100010000001…
…1111111000011101
312012220100022210021
41320200133320131
513120034110432
6532341512141
7101046614152
oct17040377035
95186308707
102021785117
119482770a0
12485112651
13262b34171
1415272a229
15bc767697
hex7881fe1d

2021785117 has 32 divisors (see below), whose sum is σ = 2429896320. Its totient is φ = 1661886720.

The previous prime is 2021785097. The next prime is 2021785121. The reversal of 2021785117 is 7115871202.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2021785117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021785127) 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 31 ways as a sum of consecutive naturals, for example, 407383 + ... + 412315.

It is an arithmetic number, because the mean of its divisors is an integer number (75934260).

Almost surely, 22021785117 is an apocalyptic number.

It is an amenable number.

2021785117 is a deficient number, since it is larger than the sum of its proper divisors (408111203).

2021785117 is a wasteful number, since it uses less digits than its factorization.

2021785117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053.

The product of its (nonzero) digits is 7840, while the sum is 34.

The square root of 2021785117 is about 44964.2648889093. The cubic root of 2021785117 is about 1264.4791279411.

The spelling of 2021785117 in words is "two billion, twenty-one million, seven hundred eighty-five thousand, one hundred seventeen".

Divisors: 1 11 19 37 53 209 407 583 703 1007 1961 4933 7733 11077 21571 37259 54263 93727 182521 261449 409849 1030997 2007731 2875939 3467899 4967531 9673613 38146889 54642841 106409743 183798647 2021785117