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1331000200101 = 31113213114912227
BaseRepresentation
bin10011010111100101110…
…010110100101110100101
311201020112200200210012110
4103113211302310232211
5133301342022400401
62455241505311233
7165106266013455
oct23274562645645
94636480623173
101331000200101
11473523a06380
12195b59335519
1398688769800
14485c6793d65
152495076e9d6
hex135e5cb4ba5

1331000200101 has 96 divisors (see below), whose sum is σ = 2126732889600. Its totient is φ = 733912108800.

The previous prime is 1331000200073. The next prime is 1331000200151. The reversal of 1331000200101 is 1010020001331.

It is not a de Polignac number, because 1331000200101 - 210 = 1331000199077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331000200151) 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 95 ways as a sum of consecutive naturals, for example, 108851350 + ... + 108863576.

It is an arithmetic number, because the mean of its divisors is an integer number (22153467600).

Almost surely, 21331000200101 is an apocalyptic number.

1331000200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331000200101 is a deficient number, since it is larger than the sum of its proper divisors (795732689499).

1331000200101 is a wasteful number, since it uses less digits than its factorization.

1331000200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1331000200101 its reverse (1010020001331), we get a palindrome (2341020201432).

The spelling of 1331000200101 in words is "one trillion, three hundred thirty-one billion, two hundred thousand, one hundred one".

Divisors: 1 3 11 13 33 39 131 143 149 169 393 429 447 507 1441 1639 1703 1859 1937 4323 4917 5109 5577 5811 12227 18733 19519 21307 22139 25181 36681 56199 58557 63921 66417 75543 134497 158951 214709 243529 253747 276991 403491 476853 644127 730587 761241 830973 1601737 1748461 1821823 2066363 2791217 3298711 4805211 5245383 5465469 6199089 8373651 9896133 17619107 20040053 20822581 22729993 23683699 36285821 52857321 60120159 62467743 68189979 71051097 108857463 229048391 238658813 260520689 270693553 307888087 687145173 715976439 781562067 812080659 923664261 2625246943 2977629083 3102564569 3386768957 7875740829 8932887249 9307693707 10160306871 34128210259 40333339397 102384630777 121000018191 443666733367 1331000200101