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2120001192 = 233229444461
BaseRepresentation
bin111111001011100…
…1010011010101000
312110202011012220200
41332113022122220
513320210014232
6550210552200
7103351466331
oct17627123250
95422135820
102120001192
1199875a301
124b1b98660
1327a2a199a
141617b5288
15c61b877c
hex7e5ca6a8

2120001192 has 24 divisors (see below), whose sum is σ = 5741670090. Its totient is φ = 706667040.

The previous prime is 2120001151. The next prime is 2120001197. The reversal of 2120001192 is 2911000212.

It can be written as a sum of positive squares in only one way, i.e., 1753431876 + 366569316 = 41874^2 + 19146^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2120001197) 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 5 ways as a sum of consecutive naturals, for example, 14722159 + ... + 14722302.

Almost surely, 22120001192 is an apocalyptic number.

It is an amenable number.

2120001192 is an abundant number, since it is smaller than the sum of its proper divisors (3621668898).

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

2120001192 is a wasteful number, since it uses less digits than its factorization.

2120001192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29444473 (or 29444466 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2120001192 is about 46043.4706771764. The cubic root of 2120001192 is about 1284.6318984799.

The spelling of 2120001192 in words is "two billion, one hundred twenty million, one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29444461 58888922 88333383 117777844 176666766 235555688 265000149 353333532 530000298 706667064 1060000596 2120001192