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201142136 = 23133189701
BaseRepresentation
bin10111111110100…
…10111101111000
3112000111002010202
423333102331320
5402443022021
631543101332
74661452136
oct1377227570
9460432122
10201142136
11a35a3078
1257441848
1332897120
141c9dc756
15129d2a0b
hexbfd2f78

201142136 has 64 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 88704000.

The previous prime is 201142133. The next prime is 201142141. The reversal of 201142136 is 631241102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201142133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286586 + ... + 287286.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2201142136 is an apocalyptic number.

201142136 is a gapful number since it is divisible by the number (26) 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 201142136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

201142136 is an abundant number, since it is smaller than the sum of its proper divisors (223427464).

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

201142136 is a wasteful number, since it uses less digits than its factorization.

201142136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 201142136 is about 14182.4587431094. The cubic root of 201142136 is about 585.9146439217.

Adding to 201142136 its reverse (631241102), we get a palindrome (832383238).

The spelling of 201142136 in words is "two hundred one million, one hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 52 62 89 104 124 178 248 356 403 701 712 806 1157 1402 1612 2314 2759 2804 3224 4628 5518 5608 9113 9256 11036 18226 21731 22072 35867 36452 43462 62389 71734 72904 86924 124778 143468 173848 249556 282503 286936 499112 565006 811057 1130012 1622114 1934059 2260024 3244228 3868118 6488456 7736236 15472472 25142767 50285534 100571068 201142136