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2122023120 = 243571263109
BaseRepresentation
bin111111001111011…
…1000000011010000
312110212221221110220
41332132320003100
513321214214440
6550322153040
7103404620220
oct17636700320
95425857426
102122023120
11999910418
124b27b2780
1327a82c0a9
14161b80080
15c64678d0
hex7e7b80d0

2122023120 has 80 divisors (see below), whose sum is σ = 7518030720. Its totient is φ = 485033472.

The previous prime is 2122023109. The next prime is 2122023139. The reversal of 2122023120 is 213202212.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122023120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629875 + ... + 633234.

It is an arithmetic number, because the mean of its divisors is an integer number (93975384).

Almost surely, 22122023120 is an apocalyptic number.

2122023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122023120 is an abundant number, since it is smaller than the sum of its proper divisors (5396007600).

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

2122023120 is a wasteful number, since it uses less digits than its factorization.

2122023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263132 (or 1263126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2122023120 is about 46065.4221732527. The cubic root of 2122023120 is about 1285.0401699303.

Adding to 2122023120 its reverse (213202212), we get a palindrome (2335225332).

The spelling of 2122023120 in words is "two billion, one hundred twenty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1263109 2526218 3789327 5052436 6315545 7578654 8841763 10104872 12631090 15157308 17683526 18946635 20209744 25262180 26525289 30314616 35367052 37893270 44208815 50524360 53050578 60629232 70734104 75786540 88417630 101048720 106101156 132626445 141468208 151573080 176835260 212202312 265252890 303146160 353670520 424404624 530505780 707341040 1061011560 2122023120