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11031100201121 = 71113591071978861
BaseRepresentation
bin1010000010000110000011…
…0011110001100010100001
31110001120012100011120220012
42200201200303301202201
52421213143122413441
635243341212454305
72215653642423530
oct240414063614241
943046170146805
1011031100201121
113573299535370
1212a1a9917a395
136202c770a520
142a1c9db72317
15141e26ba89eb
hexa0860cf18a1

11031100201121 has 128 divisors (see below), whose sum is σ = 15281683845120. Its totient is φ = 7686987033600.

The previous prime is 11031100201087. The next prime is 11031100201133. The reversal of 11031100201121 is 12110200113011.

It is not a de Polignac number, because 11031100201121 - 210 = 11031100200097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11031100201096 and 11031100201105.

It is not an unprimeable number, because it can be changed into a prime (11031100203121) 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, 1244900231 + ... + 1244909091.

It is an arithmetic number, because the mean of its divisors is an integer number (119388155040).

Almost surely, 211031100201121 is an apocalyptic number.

11031100201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11031100201121 is a deficient number, since it is larger than the sum of its proper divisors (4250583643999).

11031100201121 is a wasteful number, since it uses less digits than its factorization.

11031100201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9255.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11031100201121 its reverse (12110200113011), we get a palindrome (23141300314132).

The spelling of 11031100201121 in words is "eleven trillion, thirty-one billion, one hundred million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 7 11 13 59 77 91 107 143 197 413 649 749 767 1001 1177 1379 1391 2167 2561 4543 5369 6313 8239 8437 8861 9737 11623 15169 15301 17927 21079 28171 44191 59059 62027 69443 81361 82069 97471 107107 115193 127853 147553 151099 197197 231869 274027 486101 522799 574483 682297 806351 894971 902759 948127 1057693 1243661 1267123 1623083 1662089 1745617 1918189 3014297 3659593 5750789 6319313 6636889 6796387 8705627 8869861 10429397 11634623 12219319 12325651 13680271 16167593 19201787 21100079 22693021 40255523 47574709 55939493 73005779 74760257 86279557 95761897 102991403 113173151 134412509 135582161 158851147 177843523 186781019 249623231 391576451 523321799 615334423 720939821 727213409 949075127 1132905433 1244904661 1307467133 1338888239 1747362617 2054591209 2428153247 4307340961 5090493863 7930338031 7999347499 9372217673 11020080121 14382138463 14727770629 16997072729 26709685717 55995432493 77140560847 103094394403 121220881331 143261041573 186967800019 848546169317 1002827291011 1575871457303 11031100201121