Base | Representation |
---|---|
bin | 11111000001101100011… |
… | …000010110010110000011 |
3 | 21112211101020220000001210 |
4 | 133001230120112112003 |
5 | 234413041224213443 |
6 | 4311252224101203 |
7 | 310016654556120 |
oct | 37015430262603 |
9 | 7484336800053 |
10 | 2132122101123 |
11 | 7522563839a3 |
12 | 2a5277464803 |
13 | 12609ac94631 |
14 | 752a3b19747 |
15 | 3a6dc2c1c33 |
hex | 1f06c616583 |
2132122101123 has 16 divisors (see below), whose sum is σ = 3249078150656. Its totient is φ = 1218306666240.
The previous prime is 2132122101097. The next prime is 2132122101163. The reversal of 2132122101123 is 3211012212312.
It is a de Polignac number, because none of the positive numbers 2k-2132122101123 is a prime.
It is a super-2 number, since 2×21321221011232 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2132122101123.
It is not an unprimeable number, because it can be changed into a prime (2132122101163) 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, 1494286 + ... + 2548947.
It is an arithmetic number, because the mean of its divisors is an integer number (203067384416).
Almost surely, 22132122101123 is an apocalyptic number.
2132122101123 is a deficient number, since it is larger than the sum of its proper divisors (1116956049533).
2132122101123 is a wasteful number, since it uses less digits than its factorization.
2132122101123 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4068354.
The product of its (nonzero) digits is 288, while the sum is 21.
Adding to 2132122101123 its reverse (3211012212312), we get a palindrome (5343134313435).
The spelling of 2132122101123 in words is "two trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-three".
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