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11221210001001 = 37111337264738153
BaseRepresentation
bin1010001101001010010000…
…1111000110111001101001
31110201201220102022001101110
42203102210033012321221
52432322014230013001
635510541441340533
72235464021155050
oct243224417067151
943651812261343
1011221210001001
113636985566860
1213128b4637749
13635203a04480
142ab176513397
15146d51c0d3d6
hexa34a43c6e69

11221210001001 has 128 divisors (see below), whose sum is σ = 20639582724096. Its totient is φ = 5233257953280.

The previous prime is 11221210000981. The next prime is 11221210001017. The reversal of 11221210001001 is 10010001212211.

It is not a de Polignac number, because 11221210001001 - 26 = 11221210000937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11221210041001) 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, 294091741 + ... + 294129893.

It is an arithmetic number, because the mean of its divisors is an integer number (161246740032).

Almost surely, 211221210001001 is an apocalyptic number.

11221210001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221210001001 is a deficient number, since it is larger than the sum of its proper divisors (9418372723095).

11221210001001 is a wasteful number, since it uses less digits than its factorization.

11221210001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40871.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221210001001 its reverse (10010001212211), we get a palindrome (21231211213212).

The spelling of 11221210001001 in words is "eleven trillion, two hundred twenty-one billion, two hundred ten million, one thousand, one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2647 2849 3003 3367 5291 7941 8547 10101 15873 18529 29117 34411 37037 38153 55587 87351 97939 103233 111111 114459 203819 240877 267071 293817 378521 419683 495989 611457 685573 722631 801213 1077329 1135563 1259049 1273207 1411661 1487967 2056719 2649647 2937781 3231987 3471923 3819621 4234983 5455879 7541303 7948941 8813343 8912449 9881627 10415769 14005277 15528271 16367637 18351593 22623909 26737347 29644881 38191153 42015831 46584813 55054779 98036939 100990991 108697897 114573459 128461151 201867523 294110817 302972973 326093691 385383453 605602569 706936937 1110900901 1312882883 1413072661 2120810811 3332702703 3736666667 3938648649 4239217983 7776306307 9190180181 11210000001 14441711713 23328918921 26156666669 27570540543 41103333337 43325135139 48576666671 78470000007 101091981991 123310000011 145730000013 287723333359 303275945973 340036666697 534343333381 863170000077 1020110000091 1603030000143 3740403333667 11221210001001