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2120000212 = 221153909091
BaseRepresentation
bin111111001011100…
…1010001011010100
312110202011011120101
41332113022023110
513320210001322
6550210543444
7103351463431
oct17627121324
95422134511
102120000212
119987595a0
124b1b97b84
1327a2a13c5
141617b4b88
15c61b8327
hex7e5ca2d4

2120000212 has 24 divisors (see below), whose sum is σ = 4123641312. Its totient is φ = 945453600.

The previous prime is 2120000173. The next prime is 2120000237.

2120000212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 452214 + ... + 456877.

It is an arithmetic number, because the mean of its divisors is an integer number (171818388).

Almost surely, 22120000212 is an apocalyptic number.

2120000212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2120000212 is a deficient number, since it is larger than the sum of its proper divisors (2003641100).

2120000212 is a wasteful number, since it uses less digits than its factorization.

2120000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909159 (or 909157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120000212 is about 46043.4600350582. The cubic root of 2120000212 is about 1284.6317005335.

It can be divided in two parts, 2120000 and 212, that multiplied together give a square (449440000 = 212002).

The spelling of 2120000212 in words is "two billion, one hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 11 22 44 53 106 212 583 1166 2332 909091 1818182 3636364 10000001 20000002 40000004 48181823 96363646 192727292 530000053 1060000106 2120000212