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112002001301322 = 232117273049255193
BaseRepresentation
bin11001011101110101111111…
…100000000110111101001010
3112200120021202001012021101100
4121131311333200012331022
5104140020044313120242
61034113001543402230
732406610001016426
oct3135657740067512
9480507661167340
10112002001301322
1132761866937310
121068a8a3753376
134a659883472a2
141d92cd6507b86
15ce366825d54c
hex65dd7f806f4a

112002001301322 has 96 divisors (see below), whose sum is σ = 265184130556800. Its totient is φ = 33882066408960.

The previous prime is 112002001301279. The next prime is 112002001301327. The reversal of 112002001301322 is 223103100200211.

112002001301322 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 20 + 0 + 1 + 301 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112002001301295 and 112002001301304.

It is not an unprimeable number, because it can be changed into a prime (112002001301327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438763758 + ... + 439018950.

It is an arithmetic number, because the mean of its divisors is an integer number (2762334693300).

Almost surely, 2112002001301322 is an apocalyptic number.

112002001301322 is an abundant number, since it is smaller than the sum of its proper divisors (153182129255478).

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

112002001301322 is a wasteful number, since it uses less digits than its factorization.

112002001301322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258988 (or 258985 counting only the distinct ones).

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

Adding to 112002001301322 its reverse (223103100200211), we get a palindrome (335105101501533).

The spelling of 112002001301322 in words is "one hundred twelve trillion, two billion, one million, three hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 727 1454 2181 3049 4362 6098 6543 7997 9147 13086 15994 18294 23991 27441 33539 47982 54882 67078 71973 100617 143946 201234 255193 301851 510386 603702 765579 1531158 2216623 2296737 2807123 4433246 4593474 5614246 6649869 8421369 13299738 16842738 19949607 24382853 25264107 39899214 48765706 50528214 73148559 146297118 185525311 219445677 371050622 438891354 556575933 778083457 1113151866 1556166914 1669727799 2040778421 2334250371 3339455598 4081556842 4668500742 6122335263 7002751113 8558918027 12244670526 14005502226 17117836054 18367005789 25676754081 36734011578 51353508162 77030262243 154060524486 565666673239 1131333346478 1697000019717 3394000039434 5091000059151 6222333405629 10182000118302 12444666811258 18667000216887 37334000433774 56001000650661 112002001301322