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11141541112 = 23133110633251
BaseRepresentation
bin10100110000001011…
…00110110011111000
31001202110202221010211
422120011212303320
5140304213303422
65041321520504
7543045352102
oct123005466370
931673687124
1011141541112
1147a8122819
1221ab343134
1310873542a0
147799d6572
154531ec577
hex298166cf8

11141541112 has 64 divisors (see below), whose sum is σ = 23252060160. Its totient is φ = 4970160000.

The previous prime is 11141541097. The next prime is 11141541127. The reversal of 11141541112 is 21114514111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11141541097) and next prime (11141541127).

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, 3425487 + ... + 3428737.

It is an arithmetic number, because the mean of its divisors is an integer number (363313440).

Almost surely, 211141541112 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 11141541112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626030080).

11141541112 is an abundant number, since it is smaller than the sum of its proper divisors (12110519048).

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

11141541112 is a wasteful number, since it uses less digits than its factorization.

11141541112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4360 counting only the distinct ones).

The product of its digits is 160, while the sum is 22.

The spelling of 11141541112 in words is "eleven billion, one hundred forty-one million, five hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1063 1612 2126 3224 3251 4252 6502 8504 13004 13819 26008 27638 32953 42263 55276 65906 84526 100781 110552 131812 169052 201562 263624 338104 403124 428389 806248 856778 1310153 1713556 2620306 3427112 3455813 5240612 6911626 10481224 13823252 27646504 44925569 89851138 107130203 179702276 214260406 359404552 428520812 857041624 1392692639 2785385278 5570770556 11141541112