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2071273711 = 133141671871
BaseRepresentation
bin111101101110101…
…0010000011101111
312100100110121101011
41323131102003233
513220221224321
6541310330051
7102220351603
oct17335220357
95310417334
102071273711
119731a8661
124997b9927
13270170860
1415912d503
15c1c90ae1
hex7b7520ef

2071273711 has 32 divisors (see below), whose sum is σ = 2395201536. Its totient is φ = 1777248000.

The previous prime is 2071273697. The next prime is 2071273739. The reversal of 2071273711 is 1173721702.

It is a happy number.

It is a 8-Lehmer number, since φ(2071273711) divides (2071273711-1)8.

It is a cyclic number.

It is not a de Polignac number, because 2071273711 - 227 = 1937055983 is a prime.

It is a super-3 number, since 3×20712737113 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a deceptive number, since it divides R2071273710.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071273741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1106106 + ... + 1107976.

It is an arithmetic number, because the mean of its divisors is an integer number (74850048).

Almost surely, 22071273711 is an apocalyptic number.

2071273711 is a deficient number, since it is larger than the sum of its proper divisors (323927825).

2071273711 is a wasteful number, since it uses less digits than its factorization.

2071273711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023.

The product of its (nonzero) digits is 4116, while the sum is 31.

The square root of 2071273711 is about 45511.2481810816. The cubic root of 2071273711 is about 1274.7132429056.

The spelling of 2071273711 in words is "two billion, seventy-one million, two hundred seventy-three thousand, seven hundred eleven".

Divisors: 1 13 31 41 67 403 533 871 1271 1871 2077 2747 16523 24323 27001 35711 58001 76711 85157 125357 754013 997243 1107041 1629641 2378041 3886067 5139637 30914533 50518871 66815281 159328747 2071273711