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11302001221131 = 32172937669110289
BaseRepresentation
bin1010010001110111001111…
…0001001001111000001011
31111000110102220020021100200
42210131303301021320023
52440132444303034011
640012022341503243
72244354061204635
oct244356361117013
944013386207320
1011302001221131
113668174057275
1213264a1411b23
1363ca0aa36a7a
142b103c3ada55
15148ece8bc856
hexa4773c49e0b

11302001221131 has 96 divisors (see below), whose sum is σ = 18369274996800. Its totient is φ = 6660224040960.

The previous prime is 11302001221111. The next prime is 11302001221141. The reversal of 11302001221131 is 13112210020311.

11302001221131 is a `hidden beast` number, since 11 + 302 + 0 + 0 + 1 + 221 + 131 = 666.

11302001221131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11302001221131 - 25 = 11302001221099 is a prime.

It is a super-2 number, since 2×113020012211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11302001221111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1098449635 + ... + 1098459923.

It is an arithmetic number, because the mean of its divisors is an integer number (191346614550).

Almost surely, 211302001221131 is an apocalyptic number.

11302001221131 is a deficient number, since it is larger than the sum of its proper divisors (7067273775669).

11302001221131 is a wasteful number, since it uses less digits than its factorization.

11302001221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17069 (or 17066 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11302001221131 its reverse (13112210020311), we get a palindrome (24414211241442).

The spelling of 11302001221131 in words is "eleven trillion, three hundred two billion, one million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 17 29 37 51 87 111 153 261 333 493 629 1073 1479 1887 3219 4437 5661 6691 9657 10289 18241 20073 30867 54723 60219 92601 113747 164169 174913 194039 247567 298381 341241 380693 524739 582117 742701 895143 1023723 1142079 1574217 1746351 2228103 2685429 3298663 3426237 4208639 5072477 6471781 7179443 9895989 11040097 12625917 15217431 19415343 21538329 29687967 33120291 37877751 45652293 58246029 64614987 68843699 99360873 122050531 187681649 206531097 366151593 563044947 619593291 1098454779 1170342883 1689134841 1996467271 2547216863 3511028649 5989401813 7641650589 10533085947 17968205439 22924951767 33939943607 43302686671 73869289027 101819830821 129908060013 221607867081 305459492463 389724180039 664823601243 1255777913459 3767333740377 11302001221131