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112223120031 = 33111723219301
BaseRepresentation
bin110100010000100000…
…1001110101010011111
3101201200000121011202000
41220201001032222133
53314313104320111
6123315442533343
711051664531651
oct1504101165237
9351600534660
10112223120031
11436590310a0
12198bb367253
13a775c64b49
14560855c6d1
152dbc37ec56
hex1a2104ea9f

112223120031 has 32 divisors (see below), whose sum is σ = 181476791040. Its totient is φ = 67974228000.

The previous prime is 112223119997. The next prime is 112223120033. The reversal of 112223120031 is 130021322211.

It is not a de Polignac number, because 112223120031 - 210 = 112223119007 is a prime.

It is a super-2 number, since 2×1122231200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112223119986 and 112223120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112223120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402081 + ... + 621381.

It is an arithmetic number, because the mean of its divisors is an integer number (5671149720).

Almost surely, 2112223120031 is an apocalyptic number.

112223120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112223120031 is a deficient number, since it is larger than the sum of its proper divisors (69253671009).

112223120031 is a wasteful number, since it uses less digits than its factorization.

112223120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221044 (or 221038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112223120031 its reverse (130021322211), we get a palindrome (242244442242).

It can be divided in two parts, 11222 and 3120031, that added together give a triangular number (3131253 = T2502).

The spelling of 112223120031 in words is "one hundred twelve billion, two hundred twenty-three million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 297 1723 5169 15507 18953 46521 56859 170577 219301 511731 657903 1973709 2412311 5921127 7236933 21710799 65132397 377855623 1133566869 3400700607 4156411853 10202101821 12469235559 37407706677 112223120031