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112432410411012 = 223323217411130351
BaseRepresentation
bin11001100100000110110101…
…111000100100000000000100
3112202002102200222212110202000
4121210012311320210000010
5104214043034031123022
61035042423012345300
732452654641052056
oct3144066570440004
9482072628773660
10112432410411012
113290835462a91a
121073a1a2915230
134a9743ba2b553
141da9a871ab8d6
15cee9596436ac
hex6641b5e24004

112432410411012 has 144 divisors (see below), whose sum is σ = 304891291810560. Its totient is φ = 35827392744000.

The previous prime is 112432410410977. The next prime is 112432410411089. The reversal of 112432410411012 is 210114014234211.

112432410411012 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 3 + 241 + 0 + 411 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 98901637 + ... + 100031987.

Almost surely, 2112432410411012 is an apocalyptic number.

112432410411012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112432410411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152445645905280).

112432410411012 is an abundant number, since it is smaller than the sum of its proper divisors (192458881399548).

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

112432410411012 is a wasteful number, since it uses less digits than its factorization.

112432410411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132151 (or 1132120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 112432410411012 its reverse (210114014234211), we get a palindrome (322546424645223).

The spelling of 112432410411012 in words is "one hundred twelve trillion, four hundred thirty-two billion, four hundred ten million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 529 621 828 1058 1242 1587 1741 2116 2484 3174 3482 4761 5223 6348 6964 9522 10446 14283 15669 19044 20892 28566 31338 40043 47007 57132 62676 80086 94014 120129 160172 188028 240258 360387 480516 720774 920989 1081161 1130351 1441548 1841978 2162322 2260702 2762967 3391053 3683956 4324644 4521404 5525934 6782106 8288901 10173159 11051868 13564212 16577802 20346318 24866703 25998073 30519477 33155604 40692636 49733406 51996146 61038954 77994219 99466812 103992292 122077908 155988438 233982657 311976876 467965314 597955679 701947971 935930628 1195911358 1403895942 1793867037 1967941091 2391822716 2807791884 3587734074 3935882182 5381601111 5903823273 7175468148 7871764364 10763202222 11807646546 16144803333 17711469819 21526404444 23615293092 32289606666 35422939638 45262645093 53134409457 64579213332 70845879276 90525290186 106268818914 135787935279 181050580372 212537637828 271575870558 407363805837 543151741116 814727611674 1041040837139 1222091417511 1629455223348 2082081674278 2444182835022 3123122511417 4164163348556 4888365670044 6246245022834 9369367534251 12492490045668 18738735068502 28108102602753 37477470137004 56216205205506 112432410411012