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201213213330103 = 131719675211372771
BaseRepresentation
bin101101110000000010011010…
…000110101100101010110111
3222101102210110210112212220021
4231300002122012230222313
5202333134130103030403
61551540024001350011
760245114000422042
oct5560023206545267
9871383423485807
10201213213330103
1159127054341967
121a698576038307
13883742b1bc0c0
143798ab2d69c59
15183e03dcba8bd
hexb7009a1acab7

201213213330103 has 64 divisors (see below), whose sum is σ = 245588691156480. Its totient is φ = 162824139878400.

The previous prime is 201213213330097. The next prime is 201213213330109. The reversal of 201213213330103 is 301033312312102.

It is an interprime number because it is at equal distance from previous prime (201213213330097) and next prime (201213213330109).

It is not a de Polignac number, because 201213213330103 - 221 = 201213211232951 is a prime.

It is a super-2 number, since 2×2012132133301032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201213213330109) 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, 145888108 + ... + 147260878.

It is an arithmetic number, because the mean of its divisors is an integer number (3837323299320).

Almost surely, 2201213213330103 is an apocalyptic number.

201213213330103 is a deficient number, since it is larger than the sum of its proper divisors (44375477826377).

201213213330103 is a wasteful number, since it uses less digits than its factorization.

201213213330103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373408.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 201213213330103 its reverse (301033312312102), we get a palindrome (502246525642205).

The spelling of 201213213330103 in words is "two hundred one trillion, two hundred thirteen billion, two hundred thirteen million, three hundred thirty thousand, one hundred three".

Divisors: 1 13 17 19 67 221 247 323 521 871 1139 1273 4199 6773 8857 9899 14807 16549 21641 34907 115141 128687 168283 281333 453791 593419 663233 1372771 2187679 7714447 8622029 11274961 17846023 23337107 26082649 91975657 146574493 303382391 339074437 443405033 715213691 1195683541 1563586169 1747537483 5764265429 9297777983 12158632747 13589060129 20326620197 22717987279 29708137211 47919317297 158062225711 176657781677 231014022193 386205783743 622951124861 814628394049 910467028643 3003182288509 10590169122637 11836071372359 15477939486931 201213213330103