Search a number
-
+
11100102100122 = 2373311213658247
BaseRepresentation
bin1010000110000111000110…
…1001001000010010011010
31110022011022012102020121010
42201201301221020102122
52423331002114200442
635335152210554350
72223645610041660
oct241416151102232
943264265366533
1011100102100122
11359a588290382
1212b33358989b6
13626973131169
142a5367db2c30
15143b14860b9c
hexa1871a4849a

11100102100122 has 64 divisors (see below), whose sum is σ = 25469331830784. Its totient is φ = 3159264841920.

The previous prime is 11100102100117. The next prime is 11100102100127. The reversal of 11100102100122 is 22100120100111.

It is an interprime number because it is at equal distance from previous prime (11100102100117) and next prime (11100102100127).

It is a junction number, because it is equal to n+sod(n) for n = 11100102100098 and 11100102100107.

It is not an unprimeable number, because it can be changed into a prime (11100102100127) 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 31 ways as a sum of consecutive naturals, for example, 16534003 + ... + 17192249.

It is an arithmetic number, because the mean of its divisors is an integer number (397958309856).

Almost surely, 211100102100122 is an apocalyptic number.

11100102100122 is an abundant number, since it is smaller than the sum of its proper divisors (14369229730662).

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

11100102100122 is a wasteful number, since it uses less digits than its factorization.

11100102100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659803.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11100102100122 its reverse (22100120100111), we get a palindrome (33200222200233).

The spelling of 11100102100122 in words is "eleven trillion, one hundred billion, one hundred two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 331 662 993 1213 1986 2317 2426 3639 4634 6951 7278 8491 13902 16982 25473 50946 401503 658247 803006 1204509 1316494 1974741 2409018 2810521 3949482 4607729 5621042 8431563 9215458 13823187 16863126 27646374 217879757 435759514 653639271 798453611 1307278542 1525158299 1596907222 2395360833 3050316598 4575474897 4790721666 5589175277 9150949794 11178350554 16767525831 33535051662 264288145241 528576290482 792864435723 1585728871446 1850017016687 3700034033374 5550051050061 11100102100122