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11101002003 = 32713234991181
BaseRepresentation
bin10100101011010101…
…11101100100010011
31001122122111022221100
422111222331210103
5140213324031003
65033312555443
7542043650220
oct122552754423
931578438840
1011101002003
114787254123
122199852b83
13107bb2c250
14774482947
1544e890ba3
hex295abd913

11101002003 has 96 divisors (see below), whose sum is σ = 20651904000. Its totient is φ = 5584930560.

The previous prime is 11101001987. The next prime is 11101002019. The reversal of 11101002003 is 30020010111.

It is an interprime number because it is at equal distance from previous prime (11101001987) and next prime (11101002019).

It is not a de Polignac number, because 11101002003 - 24 = 11101001987 is a prime.

It is a super-4 number, since 4×111010020034 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11101002053) 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, 9399073 + ... + 9400253.

It is an arithmetic number, because the mean of its divisors is an integer number (215124000).

Almost surely, 211101002003 is an apocalyptic number.

11101002003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11101002003 is a deficient number, since it is larger than the sum of its proper divisors (9550901997).

11101002003 is a wasteful number, since it uses less digits than its factorization.

11101002003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11101002003 its reverse (30020010111), we get a palindrome (41121012114).

The spelling of 11101002003 in words is "eleven billion, one hundred one million, two thousand, three".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 207 273 299 483 499 819 897 1181 1449 1497 2093 2691 3493 3543 4491 6279 6487 8267 10479 10629 11477 15353 18837 19461 24801 27163 31437 34431 45409 46059 58383 74403 80339 81489 103293 107471 136227 138177 149201 190141 241017 244467 322413 353119 408681 447603 570423 589319 723051 967239 1044407 1059357 1342809 1711269 1767957 2471833 3133221 3178071 4125233 5303871 7415499 7661147 9399663 12375699 13554337 22246497 22983441 37127097 40663011 53628029 68950323 94880359 121989033 160884087 176206381 284641077 482652261 528619143 853923231 1233444667 1585857429 3700334001 11101002003