Search a number
-
+
108050201145 = 32517294870417
BaseRepresentation
bin110010010100001001…
…0110011101000111001
3101022220012111221011200
41210220102303220321
53232241322414040
6121345414444413
710543404361455
oct1445022635071
9338805457150
10108050201145
11419075813a7
1218b35963709
13a25c57b683
145330275665
152c25d4e630
hex19284b3a39

108050201145 has 48 divisors (see below), whose sum is σ = 205142006160. Its totient is φ = 52366712832.

The previous prime is 108050201131. The next prime is 108050201249. The reversal of 108050201145 is 541102050801.

108050201145 is a `hidden beast` number, since 10 + 8 + 0 + 502 + 0 + 1 + 145 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4105861929 + 103944339216 = 64077^2 + 322404^2 .

It is not a de Polignac number, because 108050201145 - 26 = 108050201081 is a prime.

It is a super-2 number, since 2×1080502011452 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2413024 + ... + 2457393.

It is an arithmetic number, because the mean of its divisors is an integer number (4273791795).

Almost surely, 2108050201145 is an apocalyptic number.

108050201145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108050201145 is a deficient number, since it is larger than the sum of its proper divisors (97091805015).

108050201145 is a wasteful number, since it uses less digits than its factorization.

108050201145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870474 (or 4870471 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 108050201145 its reverse (541102050801), we get a palindrome (649152251946).

The spelling of 108050201145 in words is "one hundred eight billion, fifty million, two hundred one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 1305 1479 2465 4437 7395 22185 4870417 14611251 24352085 43833753 73056255 82797089 141242093 219168765 248391267 413985445 423726279 706210465 745173801 1241956335 1271178837 2118631395 2401115581 3725869005 6355894185 7203346743 12005577905 21610040229 36016733715 108050201145