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200131013402243 = 711194179325312983
BaseRepresentation
bin101101100000010010100001…
…111101100101111010000011
3222020121100010102110110201122
4231200102201331211322003
5202212421303412332433
61545350530205222455
760103663036002410
oct5540224175457203
9866540112413648
10200131013402243
115884a0a472a5a0
121a542893561a2b
1387893730b3bc1
14375c56d929107
151820d00d80198
hexb604a1f65e83

200131013402243 has 128 divisors (see below), whose sum is σ = 272562787123200. Its totient is φ = 142255966694400.

The previous prime is 200131013402233. The next prime is 200131013402323. The reversal of 200131013402243 is 342204310131002.

It is a cyclic number.

It is not a de Polignac number, because 200131013402243 - 216 = 200131013336707 is a prime.

It is a super-2 number, since 2×2001310134022432 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200131013402213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15414844730 + ... + 15414857712.

It is an arithmetic number, because the mean of its divisors is an integer number (2129396774400).

Almost surely, 2200131013402243 is an apocalyptic number.

200131013402243 is a deficient number, since it is larger than the sum of its proper divisors (72431773720957).

200131013402243 is a wasteful number, since it uses less digits than its factorization.

200131013402243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16393.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 200131013402243 its reverse (342204310131002), we get a palindrome (542335323533245).

The spelling of 200131013402243 in words is "two hundred trillion, one hundred thirty-one billion, thirteen million, four hundred two thousand, two hundred forty-three".

Divisors: 1 7 11 19 41 77 79 133 209 287 451 553 779 869 1463 1501 3157 3239 3253 5453 6083 8569 10507 12983 16511 22673 22771 35629 35783 59983 61541 61807 90881 115577 133373 142813 246677 249403 250481 256987 430787 432649 532303 676951 679877 933611 999691 1025657 1467103 1726739 1798909 2534087 2713447 2826857 3726121 4738657 4759139 4882753 5855333 7179599 10113757 10269721 10536467 11282227 17738609 18994129 19487483 19787999 27874957 34179271 40987331 42051937 42233699 53710283 70796299 73755269 78975589 111251327 115901137 136412381 195124699 200192873 214362313 294363559 295635893 375971981 462571307 464570689 778759289 798986803 802440281 811307959 1401350111 1500536191 1731581659 2202121603 3237999149 3251994823 3336462221 5592907621 5617081967 8788854833 8826843091 12121071613 15414851221 19047398249 23355235547 32900051521 36701084431 61521983831 61787901637 63392782199 133331787743 136794951061 230300360647 256907591017 361900566731 443749475393 697320604189 957564657427 1504744461671 2533303967117 2599104070159 4881244229323 10533211231697 18193728491113 28590144771749 200131013402243