Search a number
-
+
122102064 = 24327294177
BaseRepresentation
bin1110100011100…
…10000100110000
322111202102112200
413101302010300
5222224231224
620041023200
73011564460
oct721620460
9274672480
10122102064
1162a180a7
1234a84b00
131c3b1956
1412305ba0
15aabd5c9
hex7472130

122102064 has 120 divisors (see below), whose sum is σ = 404096160. Its totient is φ = 33675264.

The previous prime is 122102023. The next prime is 122102107. The reversal of 122102064 is 460201221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27144 + ... + 31320.

It is an arithmetic number, because the mean of its divisors is an integer number (3367468).

Almost surely, 2122102064 is an apocalyptic number.

122102064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202048080).

122102064 is an abundant number, since it is smaller than the sum of its proper divisors (281994096).

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

122102064 is a wasteful number, since it uses less digits than its factorization.

122102064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122102064 is about 11049.9802714756. The cubic root of 122102064 is about 496.1058350292.

Adding to 122102064 its reverse (460201221), we get a palindrome (582303285).

The spelling of 122102064 in words is "one hundred twenty-two million, one hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4177 4872 7308 8354 9744 12531 14616 16708 25062 29232 29239 33416 37593 50124 58478 66832 75186 87717 100248 116956 121133 150372 175434 200496 233912 242266 263151 300744 350868 363399 467824 484532 526302 601488 701736 726798 847931 969064 1052604 1090197 1403472 1453596 1695862 1938128 2105208 2180394 2543793 2907192 3391724 4210416 4360788 5087586 5814384 6783448 7631379 8721576 10175172 13566896 15262758 17443152 20350344 30525516 40700688 61051032 122102064