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112631466344001 = 311313710799275549
BaseRepresentation
bin11001100111000000001110…
…100010101011111001000001
3112202210110111112201120202120
4121213000032202223321001
5104230323220341002001
61035314103100034453
732503232506423113
oct3147001642537101
9482713445646676
10112631466344001
1132984811500550
1210770896232a29
134ab0142595297
141db556bb413b3
15d04c09c84236
hex66700e8abe41

112631466344001 has 64 divisors (see below), whose sum is σ = 173699665920000. Its totient is φ = 64267933766400.

The previous prime is 112631466343997. The next prime is 112631466344011. The reversal of 112631466344001 is 100443664136211.

It is not a de Polignac number, because 112631466344001 - 22 = 112631466343997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112631466344011) 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, 408615175 + ... + 408890723.

It is an arithmetic number, because the mean of its divisors is an integer number (2714057280000).

Almost surely, 2112631466344001 is an apocalyptic number.

112631466344001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112631466344001 is a deficient number, since it is larger than the sum of its proper divisors (61068199575999).

112631466344001 is a wasteful number, since it uses less digits than its factorization.

112631466344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286430.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 112631466344001 in words is "one hundred twelve trillion, six hundred thirty-one billion, four hundred sixty-six million, three hundred forty-four thousand, one".

Divisors: 1 3 11 31 33 37 93 111 341 407 1023 1147 1221 3441 10799 12617 32397 37851 118789 275549 334769 356367 399563 826647 1004307 1198689 3031039 3682459 4395193 8542019 9093117 10195313 11047377 12386453 13185579 25626057 30585939 37159359 93962209 112148443 136250983 281886627 316054703 336445329 408752949 948164109 2975653651 3476601733 8926960953 10429805199 32732190161 92245263181 98196570483 110099185087 276735789543 330297555261 1014697894991 1211091035957 3044093684973 3413074737697 3633273107871 10239224213091 37543822114667 112631466344001