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2122133123 = 111997110457
BaseRepresentation
bin111111001111101…
…0010111010000011
312110220011112101002
41332133102322003
513321231224443
6550324402215
7103405556015
oct17637227203
95426145332
102122133123
11999986030
124b284636b
1327a86a196
14161bac1b5
15c648a2b8
hex7e7d2e83

2122133123 has 16 divisors (see below), whose sum is σ = 2439642240. Its totient is φ = 1825617600.

The previous prime is 2122133089. The next prime is 2122133131. The reversal of 2122133123 is 3213312212.

It is a cyclic number.

It is not a de Polignac number, because 2122133123 - 28 = 2122132867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122133095 and 2122133104.

It is not an unprimeable number, because it can be changed into a prime (2122133173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197711 + ... + 208167.

It is an arithmetic number, because the mean of its divisors is an integer number (152477640).

Almost surely, 22122133123 is an apocalyptic number.

2122133123 is a deficient number, since it is larger than the sum of its proper divisors (317509117).

2122133123 is a wasteful number, since it uses less digits than its factorization.

2122133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458.

The product of its digits is 432, while the sum is 20.

The square root of 2122133123 is about 46066.6161444489. The cubic root of 2122133123 is about 1285.0623745001.

Adding to 2122133123 its reverse (3213312212), we get a palindrome (5335445335).

Subtracting 2122133123 from its reverse (3213312212), we obtain a square (1091179089 = 330332).

The spelling of 2122133123 in words is "two billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 11 19 209 971 10457 10681 18449 115027 198683 202939 2185513 10153747 111691217 192921193 2122133123