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201403116 = 223219523563
BaseRepresentation
bin11000000000100…
…10101011101100
3112000222100010200
430000102223230
5403024344431
631552433500
74663620045
oct1400225354
9460870120
10201403116
11a3761162
1257548890
1332958b55
141ca698cc
1512a34ee6
hexc012aec

201403116 has 72 divisors (see below), whose sum is σ = 537875520. Its totient is φ = 63366624.

The previous prime is 201403093. The next prime is 201403123. The reversal of 201403116 is 611304102.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357451 + ... + 358013.

Almost surely, 2201403116 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 201403116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268937760).

201403116 is an abundant number, since it is smaller than the sum of its proper divisors (336472404).

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

201403116 is a wasteful number, since it uses less digits than its factorization.

201403116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

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

The square root of 201403116 is about 14191.6565629246. The cubic root of 201403116 is about 586.1679406211.

Adding to 201403116 its reverse (611304102), we get a palindrome (812707218).

The spelling of 201403116 in words is "two hundred one million, four hundred three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 523 563 684 1046 1126 1569 1689 2092 2252 3138 3378 4707 5067 6276 6756 9414 9937 10134 10697 18828 19874 20268 21394 29811 32091 39748 42788 59622 64182 89433 96273 119244 128364 178866 192546 294449 357732 385092 588898 883347 1177796 1766694 2650041 3533388 5300082 5594531 10600164 11189062 16783593 22378124 33567186 50350779 67134372 100701558 201403116