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11011102011 = 357131721723
BaseRepresentation
bin10100100000101000…
…00001010100111011
31001102101022221100000
422100110001110323
5140022320231021
65020342044043
7536602552140
oct122024012473
931371287300
1011011102011
114740530a08
122173719623
1310663139a0
147665603c7
15446a33b26
hex29050153b

11011102011 has 144 divisors (see below), whose sum is σ = 21577197824. Its totient is φ = 5463230976.

The previous prime is 11011101989. The next prime is 11011102019. The reversal of 11011102011 is 11020111011.

It is not a de Polignac number, because 11011102011 - 27 = 11011101883 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11011101984 and 11011102002.

It is not an unprimeable number, because it can be changed into a prime (11011102019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6389796 + ... + 6391518.

Almost surely, 211011102011 is an apocalyptic number.

11011102011 is a deficient number, since it is larger than the sum of its proper divisors (10566095813).

11011102011 is a wasteful number, since it uses less digits than its factorization.

11011102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011102011 its reverse (11020111011), we get a palindrome (22031213022).

The spelling of 11011102011 in words is "eleven billion, eleven million, one hundred two thousand, eleven".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 81 91 117 119 153 189 221 243 273 289 351 357 459 567 663 819 867 1053 1071 1377 1547 1701 1723 1989 2023 2457 2601 3159 3213 3757 4131 4641 5169 5967 6069 7371 7803 9639 11271 12061 13923 15507 17901 18207 22113 22399 23409 26299 28917 29291 33813 36183 41769 46521 53703 54621 67197 70227 78897 87873 101439 108549 125307 139563 156793 163863 201591 205037 236691 263619 304317 325647 375921 380783 418689 470379 491589 497947 604773 615111 710073 790857 912951 976941 1142349 1411137 1493841 1814319 1845333 2130219 2372571 2665481 2930823 3427047 3485629 4233411 4481523 5442957 5535999 6390657 6473311 7117713 7996443 10281141 10456887 12700233 13444569 16607997 19419933 23989329 30843423 31370661 38100699 40333707 45313177 49823991 58259799 71967987 92530269 94111983 121001121 135939531 174779397 215903961 282335949 407818593 524338191 647711883 847007847 1223455779 1573014573 3670367337 11011102011