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11112323330031 = 37111092334634091
BaseRepresentation
bin1010000110110100101000…
…0101011010111111101111
31110100022211220211001022220
42201231022011122333233
52424031014233030111
635344533022210423
72224560505553610
oct241551205327757
943308756731286
1011112323330031
1135a4789905290
1212b5786723a13
13627b70074151
142a5ba713bc07
151440cc730e06
hexa1b4a15afef

11112323330031 has 128 divisors (see below), whose sum is σ = 18766935982080. Its totient is φ = 5681437977600.

The previous prime is 11112323329973. The next prime is 11112323330041. The reversal of 11112323330031 is 13003332321111.

It is not a de Polignac number, because 11112323330031 - 27 = 11112323329903 is a prime.

It is a super-2 number, since 2×111123233300312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11112323329983 and 11112323330010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112323330041) 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, 2716283296 + ... + 2716287386.

It is an arithmetic number, because the mean of its divisors is an integer number (146616687360).

Almost surely, 211112323330031 is an apocalyptic number.

11112323330031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112323330031 is a deficient number, since it is larger than the sum of its proper divisors (7654612652049).

11112323330031 is a wasteful number, since it uses less digits than its factorization.

11112323330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11112323330031 its reverse (13003332321111), we get a palindrome (24115655651142).

The spelling of 11112323330031 in words is "eleven trillion, one hundred twelve billion, three hundred twenty-three million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 7 11 21 33 77 109 231 233 327 463 699 763 1199 1389 1631 2289 2563 3241 3597 4091 4893 5093 7689 8393 9723 12273 15279 17941 25179 25397 28637 35651 45001 50467 53823 76191 85911 106953 107879 135003 151401 177779 279367 315007 323637 353269 445919 533337 555137 755153 838101 945021 953203 1059807 1186669 1337757 1665411 1894133 1955569 2265459 2859609 3121433 3560007 3885959 4905109 5682399 5866707 6672421 8306683 9364299 10485233 11657877 11758811 13258931 14715327 20017263 20835463 24920049 31455699 34335763 35276433 39776793 62506389 73396631 82311677 103007289 103899127 129346921 145848241 206460497 220189893 246935031 311697381 388040763 437544723 441332989 619381491 727293889 905428447 1142890397 1323998967 1445223479 2181881667 2271065467 2716285341 3089330923 3428671191 4335670437 4854662879 6813196401 8000232779 9267992769 14563988637 15897458269 24000698337 33982640153 47692374807 48105295801 101947920459 144315887403 336737070607 529158253811 1010211211821 1587474761433 3704107776677 11112323330031