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20132431002213 = 31729415354111579
BaseRepresentation
bin1001001001111011100100…
…11001011111101001100101
32122021122022201202110101120
410210331302121133221211
510114322204314032323
6110452413334044153
74145343256664145
oct444756231375145
978248281673346
1020132431002213
1164621304a4102
1223119724a9659
13b30631a0a3ca
144d85b4536925
1524da563465e3
hex124f7265fa65

20132431002213 has 128 divisors (see below), whose sum is σ = 30747134476800. Its totient is φ = 11651951001600.

The previous prime is 20132431002181. The next prime is 20132431002241. The reversal of 20132431002213 is 31220013423102.

It is not a de Polignac number, because 20132431002213 - 25 = 20132431002181 is a prime.

It is a super-2 number, since 2×201324310022132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132431072213) 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, 1738696258 + ... + 1738707836.

It is an arithmetic number, because the mean of its divisors is an integer number (240211988100).

Almost surely, 220132431002213 is an apocalyptic number.

It is an amenable number.

20132431002213 is a deficient number, since it is larger than the sum of its proper divisors (10614703474587).

20132431002213 is a wasteful number, since it uses less digits than its factorization.

20132431002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12263.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20132431002213 its reverse (31220013423102), we get a palindrome (51352444425315).

The spelling of 20132431002213 in words is "twenty trillion, one hundred thirty-two billion, four hundred thirty-one million, two thousand, two hundred thirteen".

Divisors: 1 3 17 29 41 51 53 87 123 159 493 541 697 901 1189 1479 1537 1623 2091 2173 2703 3567 4611 6519 9197 11579 15689 20213 22181 26129 27591 28673 34737 36941 47067 60639 63017 66543 78387 86019 110823 189051 196843 266713 335791 377077 474739 487441 590529 613687 643249 800139 831517 1007373 1071289 1131231 1175593 1424217 1462323 1841061 1929747 2494551 3213867 3526779 5708447 6264239 8070563 10432679 10935233 13767431 14135789 17125341 17796923 18792717 19985081 24211689 25161167 31298037 32805699 34092197 41302293 42407367 53390769 59955243 75483501 102276591 106492063 181662931 234046327 256833799 302547691 319476189 332004667 427739839 544988793 579567349 702138981 729673843 770501397 907643073 996014001 1283219517 1738702047 2189021529 3088269827 4366174583 5644079339 7448180171 9264809481 9628135343 12404455331 13098523749 13612191347 16932238017 22344540513 28884406029 37213365993 40836574041 126619062907 163678300831 231407252899 379857188721 394753549063 491034902493 694221758697 1184260647189 6710810334071 20132431002213