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11112121010331 = 32116752313732333
BaseRepresentation
bin1010000110110011111000…
…0001101000100010011011
31110100022022211010010212200
42201230332001220202123
52424030110434312311
635344500553541243
72224552501065345
oct241547601504233
943308284103780
1011112121010331
1135a4695688520
1212b572aa14823
13627b3a187053
142a5b88314295
151440b9ab9556
hexa1b3e06889b

11112121010331 has 96 divisors (see below), whose sum is σ = 17825937622272. Its totient is φ = 6613758708480.

The previous prime is 11112121010321. The next prime is 11112121010381. The reversal of 11112121010331 is 13301012121111.

11112121010331 is a `hidden beast` number, since 1 + 1 + 1 + 121 + 210 + 1 + 0 + 331 = 666.

It is not a de Polignac number, because 11112121010331 - 25 = 11112121010299 is a prime.

It is a super-2 number, since 2×111121210103312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11112121010321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4763016841 + ... + 4763019173.

It is an arithmetic number, because the mean of its divisors is an integer number (185686850232).

Almost surely, 211112121010331 is an apocalyptic number.

11112121010331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112121010331 is a deficient number, since it is larger than the sum of its proper divisors (6713816611941).

11112121010331 is a wasteful number, since it uses less digits than its factorization.

11112121010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11112121010331 its reverse (13301012121111), we get a palindrome (24413133131442).

The spelling of 11112121010331 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 67 99 201 523 603 737 1373 1569 2211 2333 4119 4707 5753 6633 6999 12357 15103 17259 20997 25663 35041 45309 51777 76989 91991 105123 135927 156311 230967 275973 315369 385451 468933 718079 827919 1011901 1156353 1220159 1406799 1719421 2154237 3035703 3203209 3469059 3660477 5158263 6462711 7898869 9107109 9609627 10981431 13421749 15474789 23696607 28828881 35235299 40265247 48111293 71089821 81750653 105705897 120795741 144333879 214615003 245251959 317117691 433001637 529224223 643845009 735755877 899257183 1587672669 1675278307 1931535027 2360765033 2697771549 4763018007 5025834921 7082295099 8093314647 15077504763 18428061377 21246885297 55284184131 112243646569 165852552393 336730939707 1010192819121 1234680112259 3704040336777 11112121010331