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2112022120 = 235134061581
BaseRepresentation
bin111110111100010…
…1110011001101000
312110012010211200111
41331320232121220
513311134201440
6545323544104
7103223614615
oct17570563150
95405124614
102112022120
119941aa52a
124ab38b034
13278739c40
141606d950c
15c563e4ea
hex7de2e668

2112022120 has 32 divisors (see below), whose sum is σ = 5117593320. Its totient is φ = 779823360.

The previous prime is 2112022111. The next prime is 2112022141. The reversal of 2112022120 is 212202112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1587703716 + 524318404 = 39846^2 + 22898^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2112022120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2030271 + ... + 2031310.

Almost surely, 22112022120 is an apocalyptic number.

2112022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112022120 is an abundant number, since it is smaller than the sum of its proper divisors (3005571200).

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

2112022120 is a wasteful number, since it uses less digits than its factorization.

2112022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061605 (or 4061601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2112022120 is about 45956.7418340334. The cubic root of 2112022120 is about 1283.0182111910.

Adding to 2112022120 its reverse (212202112), we get a palindrome (2324224232).

The spelling of 2112022120 in words is "two billion, one hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4061581 8123162 16246324 20307905 32492648 40615810 52800553 81231620 105601106 162463240 211202212 264002765 422404424 528005530 1056011060 2112022120