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200561361 = 37311132947
BaseRepresentation
bin10111111010001…
…01001011010001
3111222101120110120
423331011023101
5402320430421
631522420453
74653513000
oct1375051321
9458346416
10200561361
11a32367a0
1257201729
1332722980
141c8cac37
151291a8c6
hexbf452d1

200561361 has 128 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 90881280.

The previous prime is 200561341. The next prime is 200561363. The reversal of 200561361 is 163165002.

It is not a de Polignac number, because 200561361 - 222 = 196367057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200561363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4267240 + ... + 4267286.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2200561361 is an apocalyptic number.

200561361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200561361 is a deficient number, since it is larger than the sum of its proper divisors (186510639).

200561361 is a wasteful number, since it uses less digits than its factorization.

200561361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 200561361 is about 14161.9688249904. The cubic root of 200561361 is about 585.3501797051.

The spelling of 200561361 in words is "two hundred million, five hundred sixty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 11 13 21 29 33 39 47 49 77 87 91 141 143 147 203 231 273 319 329 343 377 429 517 539 609 611 637 957 987 1001 1029 1131 1363 1421 1551 1617 1833 1911 2233 2303 2639 3003 3619 3773 4089 4147 4263 4277 4459 6699 6721 6909 7007 7917 9541 9947 10857 11319 12441 12831 13377 14993 15631 16121 17719 18473 20163 21021 25333 28623 29029 29841 29939 44979 46893 47047 48363 49049 53157 55419 66787 75999 87087 89817 104951 109417 124033 129311 141141 147147 177331 194909 200361 203203 209573 314853 328251 329329 372099 387933 467509 531993 584727 609609 628719 734657 868231 987987 1364363 1402527 1422421 2203971 2305303 2604693 4093089 4267263 5142599 6077617 6915909 9550541 15427797 18232851 28651623 66853787 200561361