Search a number
-
+
201126165152 = 2511251943741
BaseRepresentation
bin1011101101010000001…
…1011011101010100000
3201020010211100210122212
42323110003123222200
511243401244241102
6232221315421252
720350044124223
oct2732403335240
9636124323585
10201126165152
117832a527800
1232b908b4828
1315c737314a3
149a3d8b15ba
155372277c52
hex2ed40dbaa0

201126165152 has 36 divisors (see below), whose sum is σ = 435236614218. Its totient is φ = 91420982400.

The previous prime is 201126165151. The next prime is 201126165157. The reversal of 201126165152 is 251561621102.

201126165152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 149957915536 + 51168249616 = 387244^2 + 226204^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (201126165151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25967999 + ... + 25975742.

Almost surely, 2201126165152 is an apocalyptic number.

201126165152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201126165152 is an abundant number, since it is smaller than the sum of its proper divisors (234110449066).

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

201126165152 is a wasteful number, since it uses less digits than its factorization.

201126165152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51943773 (or 51943754 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 201126165152 its reverse (251561621102), we get a palindrome (452687786254).

The spelling of 201126165152 in words is "two hundred one billion, one hundred twenty-six million, one hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 51943741 103887482 207774964 415549928 571381151 831099856 1142762302 1662199712 2285524604 4571049208 6285192661 9142098416 12570385322 18284196832 25140770644 50281541288 100563082576 201126165152