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112003232001012 = 2232112935292763667
BaseRepresentation
bin11001011101110111001000…
…110110110110101111110100
3112200120101220210222021222100
4121131313020312312233310
5104140030104343013022
61034113324025502100
732406652333546242
oct3135671066665764
9480511823867870
10112003232001012
11327623386011a0
121068ab87941930
134a65b232ca061
141d92db1b49792
15ce36db3101ac
hex65ddc8db6bf4

112003232001012 has 144 divisors (see below), whose sum is σ = 319598305790400. Its totient is φ = 32760717857280.

The previous prime is 112003232000917. The next prime is 112003232001043. The reversal of 112003232001012 is 210100232300211.

112003232001012 is a `hidden beast` number, since 1 + 120 + 0 + 323 + 200 + 10 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39145203 + ... + 41908869.

It is an arithmetic number, because the mean of its divisors is an integer number (2219432679100).

Almost surely, 2112003232001012 is an apocalyptic number.

112003232001012 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 112003232001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159799152895200).

112003232001012 is an abundant number, since it is smaller than the sum of its proper divisors (207595073789388).

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

112003232001012 is a wasteful number, since it uses less digits than its factorization.

112003232001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767246 (or 2767241 counting only the distinct ones).

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

Adding to 112003232001012 its reverse (210100232300211), we get a palindrome (322103464301223).

The spelling of 112003232001012 in words is "one hundred twelve trillion, three billion, two hundred thirty-two million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3529 3828 5742 7058 10587 11484 14116 21174 31761 38819 42348 63522 77638 102341 116457 127044 155276 204682 232914 307023 349371 409364 465828 614046 698742 921069 1125751 1228092 1397484 1842138 2251502 2763667 3377253 3684276 4503004 5527334 6754506 8291001 10131759 11054668 13509012 16582002 20263518 24873003 30400337 33164004 40527036 49746006 60800674 80146343 91201011 99492012 121601348 160292686 182402022 240439029 273603033 320585372 364804044 480878058 547206066 721317087 881609773 961756116 1094412132 1442634174 1763219546 2644829319 2885268348 3526439092 5289658638 7934487957 9752980843 10579317276 15868975914 19505961686 29258942529 31737951828 39011923372 58517885058 87776827587 107282789273 117035770116 175553655174 214565578546 282836444447 321848367819 351107310348 429131157092 565672888894 643696735638 848509333341 965545103457 1131345777788 1287393471276 1697018666682 1931090206914 2545528000023 3111200888917 3394037333364 3862180413828 5091056000046 6222401777834 9333602666751 10182112000092 12444803555668 18667205333502 28000808000253 37334410667004 56001616000506 112003232001012