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112213012231120 = 24517115163716459
BaseRepresentation
bin11001100000111010100000…
…101110111011001111010000
3112201022110101202111010222111
4121200322200232323033100
5104201444222112343440
61034353540212115104
732431060023230533
oct3140724056731720
9481273352433874
10112213012231120
11328332a9020a99
1210703772905a94
134a7c845919928
141d9d1d2b02a1a
15ce8db81d04ea
hex660ea0bbb3d0

112213012231120 has 80 divisors (see below), whose sum is σ = 276244817325120. Its totient is φ = 42244472932352.

The previous prime is 112213012231031. The next prime is 112213012231147. The reversal of 112213012231120 is 21132210312211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1122130122311202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112213012231091 and 112213012231100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156263451 + ... + 156979909.

It is an arithmetic number, because the mean of its divisors is an integer number (3453060216564).

Almost surely, 2112213012231120 is an apocalyptic number.

112213012231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112213012231120 is an abundant number, since it is smaller than the sum of its proper divisors (164031805094000).

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

112213012231120 is a wasteful number, since it uses less digits than its factorization.

112213012231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831652 (or 831646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 112213012231120 its reverse (21132210312211), we get a palindrome (133345222543331).

The spelling of 112213012231120 in words is "one hundred twelve trillion, two hundred thirteen billion, twelve million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 115163 230326 460652 575815 716459 921304 1151630 1432918 1842608 1957771 2303260 2865836 3582295 3915542 4606520 5731672 7164590 7831084 9213040 9788855 11463344 12179803 14329180 15662168 19577710 24359606 28658360 31324336 39155420 48719212 57316720 60899015 78310840 97438424 121798030 156621680 194876848 243596060 487192120 974384240 82509567817 165019135634 330038271268 412547839085 660076542536 825095678170 1320153085072 1402662652889 1650191356340 2805325305778 3300382712680 5610650611556 6600765425360 7013313264445 11221301223112 14026626528890 22442602446224 28053253057780 56106506115560 112213012231120