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21103312122 = 23219292127779
BaseRepresentation
bin10011101001110110…
…101111110011111010
32000110201121022221200
4103221312233303322
5321204421441442
613410021115030
71344650123214
oct235166576372
960421538850
1021103312122
118a4a2a6822
12410b558a76
131cb4148049
141042a475b4
15837a5834c
hex4e9dafcfa

21103312122 has 48 divisors (see below), whose sum is σ = 49790052000. Its totient is φ = 6434400672.

The previous prime is 21103312081. The next prime is 21103312123. The reversal of 21103312122 is 22121330112.

21103312122 is a `hidden beast` number, since 211 + 0 + 331 + 2 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21103312095 and 21103312104.

It is not an unprimeable number, because it can be changed into a prime (21103312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053972 + ... + 1073807.

It is an arithmetic number, because the mean of its divisors is an integer number (1037292750).

Almost surely, 221103312122 is an apocalyptic number.

21103312122 is an abundant number, since it is smaller than the sum of its proper divisors (28686739878).

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

21103312122 is a wasteful number, since it uses less digits than its factorization.

21103312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127835 (or 2127832 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21103312122 its reverse (22121330112), we get a palindrome (43224642234).

The spelling of 21103312122 in words is "twenty-one billion, one hundred three million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918 2127779 4255558 6383337 12766674 19150011 38300022 40427801 61705591 80855602 121283403 123411182 185116773 242566806 363850209 370233546 555350319 727700418 1110700638 1172406229 2344812458 3517218687 7034437374 10551656061 21103312122