Search a number
-
+
201031416 = 23335771613
BaseRepresentation
bin10111111101101…
…11111011111000
3112000021110021000
423332313323320
5402431001131
631540445000
74660511265
oct1376677370
9460243230
10201031416
11a3527973
12573a9760
1332858901
141c9b026c
15129aece6
hexbfb7ef8

201031416 has 64 divisors (see below), whose sum is σ = 559735200. Its totient is φ = 66852864.

The previous prime is 201031403. The next prime is 201031429. The reversal of 201031416 is 614130102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201031403) and next prime (201031429).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123826 + ... + 125438.

Almost surely, 2201031416 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 201031416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279867600).

201031416 is an abundant number, since it is smaller than the sum of its proper divisors (358703784).

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

201031416 is a wasteful number, since it uses less digits than its factorization.

201031416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 201031416 is about 14178.5547923616. The cubic root of 201031416 is about 585.8071173446.

Adding to 201031416 its reverse (614130102), we get a palindrome (815161518).

The spelling of 201031416 in words is "two hundred one million, thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 577 1154 1613 1731 2308 3226 3462 4616 4839 5193 6452 6924 9678 10386 12904 13848 14517 15579 19356 20772 29034 31158 38712 41544 43551 58068 62316 87102 116136 124632 174204 348408 930701 1861402 2792103 3722804 5584206 7445608 8376309 11168412 16752618 22336824 25128927 33505236 50257854 67010472 100515708 201031416