Search a number
-
+
122102541 = 32116120219
BaseRepresentation
bin1110100011100…
…10001100001101
322111202110012100
413101302030031
5222224240131
620041025313
73011566041
oct721621415
9274673170
10122102541
1162a184a0
1234a85239
131c3b1c32
1412306021
15aabd7e6
hex747230d

122102541 has 24 divisors (see below), whose sum is σ = 195567840. Its totient is φ = 72784800.

The previous prime is 122102527. The next prime is 122102543. The reversal of 122102541 is 145201221.

122102541 is a `hidden beast` number, since 1 + 22 + 102 + 541 = 666.

It is not a de Polignac number, because 122102541 - 211 = 122100493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4071 + ... + 16148.

It is an arithmetic number, because the mean of its divisors is an integer number (8148660).

Almost surely, 2122102541 is an apocalyptic number.

122102541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102541 is a deficient number, since it is larger than the sum of its proper divisors (73465299).

122102541 is a wasteful number, since it uses less digits than its factorization.

122102541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20297 (or 20294 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122102541 is about 11050.0018552035. The cubic root of 122102541 is about 496.1064810521.

Adding to 122102541 its reverse (145201221), we get a palindrome (267303762).

The spelling of 122102541 in words is "one hundred twenty-two million, one hundred two thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 6039 20219 60657 181971 222409 667227 1233359 2001681 3700077 11100231 13566949 40700847 122102541