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2110120101 = 32376336697
BaseRepresentation
bin111110111000101…
…1110000010100101
312110001120012121100
41331301132002211
513310142320401
6545215110313
7103201503435
oct17561360245
95401505540
102110120101
11993120511
124aa812399
1327822229b
141603622c5
15c53b5b86
hex7dc5e0a5

2110120101 has 12 divisors (see below), whose sum is σ = 3130328812. Its totient is φ = 1368726336.

The previous prime is 2110120093. The next prime is 2110120153. The reversal of 2110120101 is 1010210112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1984702500 + 125417601 = 44550^2 + 11199^2 .

It is not a de Polignac number, because 2110120101 - 23 = 2110120093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110120501) 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 11 ways as a sum of consecutive naturals, for example, 3168016 + ... + 3168681.

Almost surely, 22110120101 is an apocalyptic number.

It is an amenable number.

2110120101 is a deficient number, since it is larger than the sum of its proper divisors (1020208711).

2110120101 is a wasteful number, since it uses less digits than its factorization.

2110120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336740 (or 6336737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2110120101 is about 45936.0435932395. The cubic root of 2110120101 is about 1282.6329472429.

Adding to 2110120101 its reverse (1010210112), we get a palindrome (3120330213).

The spelling of 2110120101 in words is "two billion, one hundred ten million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 37 111 333 6336697 19010091 57030273 234457789 703373367 2110120101