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111023223023031 = 311389601151973
BaseRepresentation
bin11001001111100110011011…
…110001010010010110110111
3112120002201100022012000021020
4121033212123301102112313
5104023001030043214111
61032043210424152223
732246106651642234
oct3117463361222667
9476081308160236
10111023223023031
1132414759033000
1210551064908673
1349c45a28b4837
141d5b7a472c78b
15cc7e7eb3e906
hex64f99bc525b7

111023223023031 has 64 divisors (see below), whose sum is σ = 164682970283520. Its totient is φ = 66518422291200.

The previous prime is 111023223022963. The next prime is 111023223023033. The reversal of 111023223023031 is 130320322320111.

It is not a de Polignac number, because 111023223023031 - 27 = 111023223022903 is a prime.

It is a super-2 number, since 2×1110232230230312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111023223022992 and 111023223023010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111023223023033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136145161 + ... + 2136197133.

It is an arithmetic number, because the mean of its divisors is an integer number (2573171410680).

Almost surely, 2111023223023031 is an apocalyptic number.

111023223023031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111023223023031 is a deficient number, since it is larger than the sum of its proper divisors (53659747260489).

111023223023031 is an equidigital number, since it uses as much as digits as its factorization.

111023223023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58109 (or 58087 counting only the distinct ones).

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

Adding to 111023223023031 its reverse (130320322320111), we get a palindrome (241343545343142).

The spelling of 111023223023031 in words is "one hundred eleven trillion, twenty-three billion, two hundred twenty-three million, twenty-three thousand, thirty-one".

Divisors: 1 3 11 33 89 121 267 363 979 1331 2937 3993 6011 10769 18033 32307 51973 66121 118459 155919 198363 355377 534979 571703 727331 1604937 1715109 2181993 4625597 5884769 6288733 8000641 13876791 17654307 18866199 24001923 50881567 64732459 69176063 152644701 194197377 207528189 312409703 559697237 712057049 937229109 1679091711 2136171147 3436506733 6156669607 10309520199 18470008821 27804463567 37801574063 83413390701 113404722189 305849099237 415817314693 917547297711 1247451944079 3364340091607 10093020274821 37007741007677 111023223023031