Search a number
-
+
122132745 = 3357237499
BaseRepresentation
bin1110100011110…
…01100100001001
322111210222122000
413101321210021
5222231221440
620041421213
73012053100
oct721714411
9274728560
10122132745
1162a39159
1234a9a809
131c3c28c7
1412313037
15aac7730
hex7479909

122132745 has 96 divisors (see below), whose sum is σ = 259920000. Its totient is φ = 54214272.

The previous prime is 122132713. The next prime is 122132749. The reversal of 122132745 is 547231221.

It is not a de Polignac number, because 122132745 - 25 = 122132713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132749) 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 95 ways as a sum of consecutive naturals, for example, 244506 + ... + 245004.

It is an arithmetic number, because the mean of its divisors is an integer number (2707500).

Almost surely, 2122132745 is an apocalyptic number.

122132745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122132745 is an abundant number, since it is smaller than the sum of its proper divisors (137787255).

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

122132745 is a wasteful number, since it uses less digits than its factorization.

122132745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 122132745 is about 11051.3684672985. The cubic root of 122132745 is about 496.1473842816.

Adding to 122132745 its reverse (547231221), we get a palindrome (669363966).

The spelling of 122132745 in words is "one hundred twenty-two million, one hundred thirty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 49 63 105 111 135 147 185 189 245 259 315 333 441 499 555 735 777 945 999 1295 1323 1497 1665 1813 2205 2331 2495 3493 3885 4491 4995 5439 6615 6993 7485 9065 10479 11655 13473 16317 17465 18463 22455 24451 27195 31437 34965 48951 52395 55389 67365 73353 81585 92315 94311 122255 129241 157185 166167 220059 244755 276945 366765 387723 471555 498501 646205 660177 830835 904687 1100295 1163169 1938615 2492505 2714061 3300885 3489507 4523435 5815845 8142183 13570305 17447535 24426549 40710915 122132745