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211111112111020 = 225116718179128883
BaseRepresentation
bin110000000000000100100010…
…110110000111001110101100
31000200111000200101022210202221
4300000010202312013032230
5210132321024200023040
62024555034523125124
762316163106045602
oct6000044266071654
91020430611283687
10211111112111020
11612a27a1149890
121b8168b83737a4
1390a4900411194
143a1bb91d51872
1519617402ba74a
hexc00122d873ac

211111112111020 has 96 divisors (see below), whose sum is σ = 493566730465536. Its totient is φ = 75204089452800.

The previous prime is 211111112110991. The next prime is 211111112111027. The reversal of 211111112111020 is 20111211111112.

It is a junction number, because it is equal to n+sod(n) for n = 211111112110985 and 211111112111003.

It is not an unprimeable number, because it can be changed into a prime (211111112111027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36896502 + ... + 42232381.

It is an arithmetic number, because the mean of its divisors is an integer number (5141320109016).

Almost surely, 2211111112111020 is an apocalyptic number.

211111112111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111112111020 is an abundant number, since it is smaller than the sum of its proper divisors (282455618354516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211111112111020 is a wasteful number, since it uses less digits than its factorization.

211111112111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79129151 (or 79129149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 211111112111020 its reverse (20111211111112), we get a palindrome (231222323222132).

The spelling of 211111112111020 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred twelve million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 181 220 268 335 362 670 724 737 905 1340 1474 1810 1991 2948 3620 3685 3982 7370 7964 9955 12127 14740 19910 24254 39820 48508 60635 121270 133397 242540 266794 533588 666985 1333970 2667940 79128883 158257766 316515532 395644415 791288830 870417713 1582577660 1740835426 3481670852 4352088565 5301635161 8704177130 10603270322 14322327823 17408354260 21206540644 26508175805 28644655646 53016351610 57289311292 58317986771 71611639115 106032703220 116635973542 143223278230 157545606053 233271947084 286446556460 291589933855 315091212106 583179867710 630182424212 787728030265 959595964141 1166359735420 1575456060530 1919191928282 3150912121060 3838383856564 4797979820705 9595959641410 10555555605551 19191919282820 21111111211102 42222222422204 52777778027755 105555556055510 211111112111020