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1101323311011 = 3272114115136671
BaseRepresentation
bin10000000001101011111…
…111000001011110100011
310220021201010002221011200
4100001223333001132203
5121021002231423021
62201535124412243
7142365550454100
oct20015377013643
93807633087150
101101323311011
11395083330160
1215953ab47083
137cb14cb5741
143b439135aa7
151d9abc48126
hex1006bfc17a3

1101323311011 has 144 divisors (see below), whose sum is σ = 2081742114816. Its totient is φ = 554450400000.

The previous prime is 1101323311001. The next prime is 1101323311021. The reversal of 1101323311011 is 1101133231011.

It is an interprime number because it is at equal distance from previous prime (1101323311001) and next prime (1101323311021).

It is not a de Polignac number, because 1101323311011 - 210 = 1101323309987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101323311001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30014206 + ... + 30050876.

It is an arithmetic number, because the mean of its divisors is an integer number (14456542464).

Almost surely, 21101323311011 is an apocalyptic number.

1101323311011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101323311011 is a deficient number, since it is larger than the sum of its proper divisors (980418803805).

1101323311011 is a wasteful number, since it uses less digits than its factorization.

1101323311011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36894 (or 36884 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1101323311011 its reverse (1101133231011), we get a palindrome (2202456542022).

The spelling of 1101323311011 in words is "one trillion, one hundred one billion, three hundred twenty-three million, three hundred eleven thousand, eleven".

Divisors: 1 3 7 9 11 21 33 41 49 63 77 99 123 147 151 231 287 369 441 451 453 539 693 861 1057 1353 1359 1617 1661 2009 2583 3157 3171 4059 4851 4983 6027 6191 7399 9471 9513 11627 14949 18081 18573 22099 22197 28413 34881 36671 43337 55719 66297 66591 68101 81389 104643 110013 130011 198891 204303 244167 256697 303359 330039 390033 403381 476707 612909 732501 770091 910077 1210143 1430121 1503511 1796879 2310273 2730231 2823667 3336949 3630429 4290363 4510533 5390637 5537321 8471001 10010847 10524577 13531599 16171911 16538621 16611963 19765669 25413003 30032541 31573731 38761247 49615863 49835889 59297007 60910531 73672039 94721193 115770347 116283741 148847589 177891021 182731593 221016117 227030161 271328729 347311041 348851223 426373717 548194779 663048351 681090483 810392429 813986187 1041933123 1279121151 1589211127 2043271449 2431177287 2441958561 2497331771 2984616019 3837363453 4767633381 7293531861 7491995313 8953848057 11124477889 14302900143 17481322397 22475985939 26861544171 33373433667 52443967191 100120301001 122369256779 157331901573 367107770337 1101323311011