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7001122000 = 245329120709
BaseRepresentation
bin1101000010100110…
…01010010011010000
3200001220211211212211
412201103022103100
5103314241401000
63114414201504
7335331361255
oct64123122320
920056754784
107001122000
112a72a50644
1214347b3294
13877609852
144a5b6d42c
152ae98b7ba
hex1a14ca4d0

7001122000 has 80 divisors (see below), whose sum is σ = 17512606800. Its totient is φ = 2703859200.

The previous prime is 7001121997. The next prime is 7001122031. The reversal of 7001122000 is 2211007.

It can be written as a sum of positive squares in 8 ways, for example, as 2988152896 + 4012969104 = 54664^2 + 63348^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2355 + ... + 118354.

It is an arithmetic number, because the mean of its divisors is an integer number (218907585).

Almost surely, 27001122000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756303400).

7001122000 is an abundant number, since it is smaller than the sum of its proper divisors (10511484800).

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

7001122000 is a wasteful number, since it uses less digits than its factorization.

7001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120761 (or 120745 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 7001122000 is about 83672.7076172392. The cubic root of 7001122000 is about 1913.0333824925.

Adding to 7001122000 its reverse (2211007), we get a palindrome (7003333007).

The spelling of 7001122000 in words is "seven billion, one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 120709 241418 482836 603545 965672 1207090 1931344 2414180 3017725 3500561 4828360 6035450 7001122 9656720 12070900 14002244 15088625 17502805 24141800 28004488 30177250 35005610 48283600 56008976 60354500 70011220 87514025 120709000 140022440 175028050 241418000 280044880 350056100 437570125 700112200 875140250 1400224400 1750280500 3500561000 7001122000