Search a number
-
+
201315429 = 33747131173
BaseRepresentation
bin10111111111111…
…01010001100101
3112000210212212000
423333331101211
5403014043204
631550515513
74663103310
oct1377752145
9460725760
10201315429
11a3701297
1257505b99
1332927c73
141ca45977
1512a19039
hexbffd465

201315429 has 64 divisors (see below), whose sum is σ = 352788480. Its totient is φ = 111084480.

The previous prime is 201315407. The next prime is 201315437. The reversal of 201315429 is 924513102.

201315429 is a `hidden beast` number, since 201 + 31 + 5 + 429 = 666.

It is not a de Polignac number, because 201315429 - 211 = 201313381 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 (201315629) 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 63 ways as a sum of consecutive naturals, for example, 1163587 + ... + 1163759.

It is an arithmetic number, because the mean of its divisors is an integer number (5512320).

Almost surely, 2201315429 is an apocalyptic number.

It is an amenable number.

201315429 is a deficient number, since it is larger than the sum of its proper divisors (151473051).

201315429 is a wasteful number, since it uses less digits than its factorization.

201315429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 201315429 is about 14188.5668409463. The cubic root of 201315429 is about 586.0828595650.

The spelling of 201315429 in words is "two hundred one million, three hundred fifteen thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 21 27 47 63 131 141 173 189 329 393 423 519 917 987 1179 1211 1269 1557 2751 2961 3537 3633 4671 6157 8131 8253 8883 10899 18471 22663 24393 24759 32697 43099 55413 56917 67989 73179 129297 158641 166239 170751 203967 219537 387891 475923 512253 611901 1065161 1163673 1427769 1536759 3195483 4283307 7456127 9586449 22368381 28759347 67105143 201315429