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11033223221031 = 31129411997091993
BaseRepresentation
bin1010000010001101111101…
…0110011100111100100111
31110001202200022000011201020
42200203133112130330213
52421232020121033111
635244332012302223
72216060361665124
oct240433726347447
943052608004636
1011033223221031
113574188966680
1212a2390171973
136205754c821b
142a2021ad174b
15141eed26b906
hexa08df59cf27

11033223221031 has 128 divisors (see below), whose sum is σ = 17124791040000. Its totient is φ = 6255122227200.

The previous prime is 11033223221029. The next prime is 11033223221107. The reversal of 11033223221031 is 13012232233011.

It is not a de Polignac number, because 11033223221031 - 21 = 11033223221029 is a prime.

It is a super-2 number, since 2×110332232210312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11033223220992 and 11033223221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033223221231) 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, 5535986571 + ... + 5535988563.

It is an arithmetic number, because the mean of its divisors is an integer number (133787430000).

Almost surely, 211033223221031 is an apocalyptic number.

11033223221031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11033223221031 is a deficient number, since it is larger than the sum of its proper divisors (6091567818969).

11033223221031 is a wasteful number, since it uses less digits than its factorization.

11033223221031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11033223221031 its reverse (13012232233011), we get a palindrome (24045455454042).

The spelling of 11033223221031 in words is "eleven trillion, thirty-three billion, two hundred twenty-three million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 3 11 29 33 41 87 123 199 319 451 597 709 957 1189 1353 1993 2127 2189 3567 5771 5979 6567 7799 8159 13079 17313 20561 21923 23397 24477 29069 39237 57797 61683 63481 65769 81713 87207 89749 141091 173391 190443 226171 236611 245139 269247 319759 396607 423273 635767 678513 709833 843001 898843 959277 1189821 1413037 1552001 1907301 2369677 2529003 2602721 2696529 4091639 4239111 4362677 4656003 5784731 7109031 7808163 9273011 11501603 12274917 13088031 15543407 16260887 17354193 26066447 27819033 34504809 40978073 45008029 46630221 48782661 57934517 63632041 78199341 122934219 126517633 135024087 167757199 173803551 178869757 190896123 281194363 379552899 450758803 471565723 503271597 536609271 637279687 843583089 1352276409 1414697169 1680100993 1845329189 1911839061 3093137993 5040302979 5187222953 5535987567 8154636527 9279413979 11528968883 15561668859 18481110923 24463909581 34586906649 55443332769 89701001797 126818657713 269103005391 334340097607 380455973139 1003020292821 3677741073677 11033223221031