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30031211213003 = 711131738310214513
BaseRepresentation
bin1101101010000001011111…
…01011010011000011001011
310221022221210202002122202002
412311000233223103003023
512414012410032304003
6143512051543501215
76216453260334260
oct665005753230313
9127287722078662
1030031211213003
11962918a8aa370
1234502bba5780b
13139ac14723520
1475b738603267
153712a9e05a88
hex1b502fad30cb

30031211213003 has 128 divisors (see below), whose sum is σ = 42856376500224. Its totient is φ = 20252801433600.

The previous prime is 30031211212993. The next prime is 30031211213167.

30031211213003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30031211213003 - 24 = 30031211212987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30031211213803) 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, 6654376475 + ... + 6654380987.

It is an arithmetic number, because the mean of its divisors is an integer number (334815441408).

Almost surely, 230031211213003 is an apocalyptic number.

30031211213003 is a deficient number, since it is larger than the sum of its proper divisors (12825165287221).

30031211213003 is a wasteful number, since it uses less digits than its factorization.

30031211213003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 3003121 and 1213003, that added together give a palindrome (4216124).

The spelling of 30031211213003 in words is "thirty trillion, thirty-one billion, two hundred eleven million, two hundred thirteen thousand, three".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 383 1001 1021 1309 1547 2431 2681 4213 4513 4979 6511 7147 11231 13273 17017 17357 29491 31591 34853 45577 49643 54769 58669 71621 76721 78617 84643 92911 121499 146003 190927 225641 347501 383383 391043 410683 501347 537047 592501 645359 843931 931073 997373 1022021 1336489 1579487 1728479 2482051 2737301 4301473 4517513 4607773 5083559 5907517 6517511 6647731 6981611 10971103 12099353 17374357 19013269 22470227 29384143 30110311 32254411 35584913 46534117 50685503 55919149 59901049 73125041 76797721 78332141 86420503 133092883 157291589 205689001 247172497 323225573 354798521 381993859 391434043 419307343 511875287 548324987 604943521 658911539 861653551 950625533 1018317833 1730207479 1764777059 2262579011 2673957013 4201932449 4612380773 6031574857 6654378731 7128224831 11201496163 12353439413 19412547649 22942101767 29413527143 30001210003 78410473141 135887833543 160594712369 210008470021 252363119437 330013310033 390015730039 1766541836059 2310093170231 2730110110273 4290173030429 30031211213003