Search a number
-
+
122000002201011 = 311191149312964409
BaseRepresentation
bin11011101111010101010110…
…110010110011010110110011
3120222222002022220202201010110
4123233111112302303112303
5111442322001030413021
61111250005521032403
734461131533330164
oct3357252662632663
9528862286681113
10122000002201011
1135966a01788710
1211824501a85703
13530c721281acc
14221ab8dd3376b
15e1877791a476
hex6ef556cb35b3

122000002201011 has 32 divisors (see below), whose sum is σ = 178503123824640. Its totient is φ = 73503007596800.

The previous prime is 122000002201003. The next prime is 122000002201073. The reversal of 122000002201011 is 110102200000221.

It is a cyclic number.

It is not a de Polignac number, because 122000002201011 - 23 = 122000002201003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122000002201081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2928175 + ... + 15892583.

It is an arithmetic number, because the mean of its divisors is an integer number (5578222619520).

Almost surely, 2122000002201011 is an apocalyptic number.

122000002201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122000002201011 is a deficient number, since it is larger than the sum of its proper divisors (56503121623629).

122000002201011 is a wasteful number, since it uses less digits than its factorization.

122000002201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966107.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000002201011 its reverse (110102200000221), we get a palindrome (232102202201232).

The spelling of 122000002201011 in words is "one hundred twenty-two trillion, two million, two hundred one thousand, eleven".

Divisors: 1 3 11 33 191 573 1493 2101 4479 6303 16423 49269 285163 855489 3136793 9410379 12964409 38893227 142608499 427825497 2476202119 7428606357 19355862637 27238223309 58067587911 81714669927 212914489007 638743467021 3696969763667 11090909291001 40666667400337 122000002201011