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11003145144 = 2331734777719
BaseRepresentation
bin10100011111101011…
…01010101110111000
31001101211100200120020
422033311222232320
5140013301121034
65015455330440
7536445122235
oct121765525670
931354320506
1011003145144
114736a96892
122170b20a20
131064789094
1476548c78c
15445eb1249
hex28fd6abb8

11003145144 has 64 divisors (see below), whose sum is σ = 29210284800. Its totient is φ = 3441974784.

The previous prime is 11003145143. The next prime is 11003145163. The reversal of 11003145144 is 44154130011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003145143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102717 + ... + 180435.

It is an arithmetic number, because the mean of its divisors is an integer number (456410700).

Almost surely, 211003145144 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 11003145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605142400).

11003145144 is an abundant number, since it is smaller than the sum of its proper divisors (18207139656).

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

11003145144 is a wasteful number, since it uses less digits than its factorization.

11003145144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78092 (or 78088 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11003145144 its reverse (44154130011), we get a palindrome (55157275155).

The spelling of 11003145144 in words is "eleven billion, three million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 347 408 694 1041 1388 2082 2776 4164 5899 8328 11798 17697 23596 35394 47192 70788 77719 141576 155438 233157 310876 466314 621752 932628 1321223 1865256 2642446 3963669 5284892 7927338 10569784 15854676 26968493 31709352 53936986 80905479 107873972 161810958 215747944 323621916 458464381 647243832 916928762 1375393143 1833857524 2750786286 3667715048 5501572572 11003145144