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142121112 = 23372931941
BaseRepresentation
bin10000111100010…
…01100010011000
3100220102111111220
420132021202120
5242340333422
622034052040
73344003160
oct1036114230
9326374456
10142121112
1173250771
123b71a020
13235a0943
1414c375a0
15c724e5c
hex8789898

142121112 has 128 divisors (see below), whose sum is σ = 434073600. Its totient is φ = 37900800.

The previous prime is 142121099. The next prime is 142121113. The reversal of 142121112 is 211121241.

142121112 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×1421211122 = 40396820952233088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142121091 and 142121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150562 + ... + 151502.

It is an arithmetic number, because the mean of its divisors is an integer number (3391200).

Almost surely, 2142121112 is an apocalyptic number.

142121112 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 142121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217036800).

142121112 is an abundant number, since it is smaller than the sum of its proper divisors (291952488).

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

142121112 is a wasteful number, since it uses less digits than its factorization.

142121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 142121112 is about 11921.4559513509. The cubic root of 142121112 is about 521.8586249753.

Adding to 142121112 its reverse (211121241), we get a palindrome (353242353).

The spelling of 142121112 in words is "one hundred forty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 812 868 899 941 1218 1302 1624 1736 1798 1882 2436 2604 2697 2823 3596 3764 4872 5208 5394 5646 6293 6587 7192 7528 10788 11292 12586 13174 18879 19761 21576 22584 25172 26348 27289 29171 37758 39522 50344 52696 54578 58342 75516 79044 81867 87513 109156 116684 151032 158088 163734 175026 191023 204197 218312 233368 327468 350052 382046 408394 573069 612591 654936 700104 764092 816788 845959 1146138 1225182 1528184 1633576 1691918 2292276 2450364 2537877 3383836 4584552 4900728 5075754 5921713 6767672 10151508 11843426 17765139 20303016 23686852 35530278 47373704 71060556 142121112