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2110120201112 = 2371134965315031
BaseRepresentation
bin11110101101001100111…
…101110000101110011000
321110201120220102200021012
4132231030331300232120
5234033011232413422
64253213103033052
7305310513525050
oct36551475605630
97421526380235
102110120201112
1174399592a860
122a0b56b9b788
13123ca29288a1
14741b7a02560
1539d5091a4e2
hex1eb4cf70b98

2110120201112 has 128 divisors (see below), whose sum is σ = 4954787712000. Its totient is φ = 818459251200.

The previous prime is 2110120201081. The next prime is 2110120201157. The reversal of 2110120201112 is 2111020210112.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 31 ways as a sum of consecutive naturals, for example, 140377037 + ... + 140392067.

It is an arithmetic number, because the mean of its divisors is an integer number (38709279000).

Almost surely, 22110120201112 is an apocalyptic number.

2110120201112 is a gapful number since it is divisible by the number (22) 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 2110120201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477393856000).

2110120201112 is an abundant number, since it is smaller than the sum of its proper divisors (2844667510888).

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

2110120201112 is a wasteful number, since it uses less digits than its factorization.

2110120201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16057 (or 16053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2110120201112 its reverse (2111020210112), we get a palindrome (4221140411224).

The spelling of 2110120201112 in words is "two trillion, one hundred ten billion, one hundred twenty million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 349 616 653 698 1306 1396 2443 2612 2792 3839 4571 4886 5224 7183 7678 9142 9772 14366 15031 15356 18284 19544 26873 28732 30062 30712 36568 50281 53746 57464 60124 100562 105217 107492 120248 165341 201124 210434 214984 227897 330682 402248 420868 455794 661364 841736 911588 1157387 1322728 1595279 1823176 2314774 2506867 3190558 4629548 5013734 5245819 6381116 9259096 9815243 10027468 10491638 12762232 17548069 19630486 20054936 20983276 35096138 36720733 39260972 41966552 57704009 68706701 70192276 73441466 78521944 107967673 115408018 137413402 140384552 146882932 215935346 230816036 274826804 293765864 403928063 431870692 461632072 549653608 755773711 807856126 863741384 1511547422 1615712252 3023094844 3231424504 3425519807 6046189688 6851039614 13702079228 23978638649 27404158456 37680717877 47957277298 75361435754 95914554596 150722871508 191829109192 263765025139 301445743016 527530050278 1055060100556 2110120201112