Search a number
-
+
201063016 = 237111941419
BaseRepresentation
bin10111111101111…
…11101001101000
3112000100001121101
423332333221220
5402433004031
631541251144
74661002360
oct1376775150
9460301541
10201063016
11a3549690
1257403ab4
133286a0cb
141c9bb9a0
15129b9361
hexbfbfa68

201063016 has 128 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 72230400.

The previous prime is 201063011. The next prime is 201063017. The reversal of 201063016 is 610360102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 201062984 and 201063002.

It is not an unprimeable number, because it can be changed into a prime (201063011) 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 31 ways as a sum of consecutive naturals, for example, 479655 + ... + 480073.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2201063016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201063016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

201063016 is an abundant number, since it is smaller than the sum of its proper divisors (306968984).

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

201063016 is a wasteful number, since it uses less digits than its factorization.

201063016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 201063016 is about 14179.6691075638. The cubic root of 201063016 is about 585.8378099522.

The spelling of 201063016 in words is "two hundred one million, sixty-three thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 41 44 56 76 77 82 88 133 152 154 164 209 266 287 308 328 418 419 451 532 574 616 779 836 838 902 1064 1148 1463 1558 1672 1676 1804 2296 2926 2933 3116 3157 3352 3608 4609 5453 5852 5866 6232 6314 7961 8569 9218 10906 11704 11732 12628 15922 17138 17179 18436 21812 23464 25256 31844 32263 34276 34358 36872 43624 55727 59983 63688 64526 68552 68716 87571 111454 119966 120253 129052 137432 175142 188969 222908 239932 240506 258104 326401 350284 377938 445816 479864 481012 612997 652802 700568 755876 962024 1225994 1305604 1322783 1511752 2284807 2451988 2611208 2645566 3590411 4569614 4903976 5291132 7180822 9139228 10582264 14361644 18278456 25132877 28723288 50265754 100531508 201063016