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12101068 = 2274183127
BaseRepresentation
bin101110001010…
…010111001100
3211202210112201
4232022113030
511044213233
61111211244
7204600040
oct56122714
924683481
1012101068
116915791
124076b24
132678cc5
141870020
1510e077d
hexb8a5cc

12101068 has 48 divisors (see below), whose sum is σ = 25288704. Its totient is φ = 4959360.

The previous prime is 12101053. The next prime is 12101087. The reversal of 12101068 is 86010121.

12101068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95221 + ... + 95347.

It is an arithmetic number, because the mean of its divisors is an integer number (526848).

Almost surely, 212101068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644352).

12101068 is an abundant number, since it is smaller than the sum of its proper divisors (13187636).

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

12101068 is a wasteful number, since it uses less digits than its factorization.

12101068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 12101068 is about 3478.6589370043. The cubic root of 12101068 is about 229.5837967659.

Adding to 12101068 its reverse (86010121), we get a palindrome (98111189).

It can be divided in two parts, 1210 and 1068, that added together give a triangular number (2278 = T67).

The spelling of 12101068 in words is "twelve million, one hundred one thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 41 82 83 127 164 166 254 287 332 508 574 581 889 1148 1162 1778 2324 3403 3556 5207 6806 10414 10541 13612 20828 21082 23821 36449 42164 47642 72898 73787 95284 145796 147574 295148 432181 864362 1728724 3025267 6050534 12101068