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200202110200001 = 713414310312115399
BaseRepresentation
bin101101100001010100101111…
…101010010110100011000001
3222020212010122021122000021102
4231201110233222112203001
5202220102410202400001
61545443325120304145
760112060631550230
oct5541245752264301
9866763567560242
10200202110200001
1158877268a49a98
121a554615772055
138792c9382a7c0
143761b96088b17
151822ab28e2e6b
hexb6152fa968c1

200202110200001 has 64 divisors (see below), whose sum is σ = 260790091161600. Its totient is φ = 149478811292160.

The previous prime is 200202110199983. The next prime is 200202110200031. The reversal of 200202110200001 is 100002011202002.

It is a happy number.

It is not a de Polignac number, because 200202110200001 - 26 = 200202110199937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200202110200031) 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 63 ways as a sum of consecutive naturals, for example, 10466900 + ... + 22582298.

It is an arithmetic number, because the mean of its divisors is an integer number (4074845174400).

Almost surely, 2200202110200001 is an apocalyptic number.

It is an amenable number.

200202110200001 is a deficient number, since it is larger than the sum of its proper divisors (60587980961599).

200202110200001 is a wasteful number, since it uses less digits than its factorization.

200202110200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115606.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200202110200001 its reverse (100002011202002), we get a palindrome (300204121402003).

The spelling of 200202110200001 in words is "two hundred trillion, two hundred two billion, one hundred ten million, two hundred thousand, one".

Divisors: 1 7 13 41 43 91 103 287 301 533 559 721 1339 1763 3731 3913 4223 4429 9373 12341 22919 29561 31003 54899 57577 160433 181589 384293 403039 1271123 2360657 12115399 16524599 84807793 157500187 496731359 520962157 1102501309 1247886097 3477119513 3646735099 6457507667 6772508041 8735202679 16222519261 21359448437 45202553669 47407556287 51163329977 53659102171 113557634827 149516139059 277672829681 358143309839 375613715197 665123289701 697568328223 1943709807767 2200023189011 4655863027907 4882978297561 15400162323077 28600301457143 200202110200001