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11114040330 = 23252931137363
BaseRepresentation
bin10100101100111001…
…01100110000001010
31001200120000202011100
422112130230300022
5140230143242310
65034500242230
7542262532641
oct122634546012
931616022140
1011114040330
114793649aa8
1221a20a0376
131081745a33
147760b8358
15450ab8ec0
hex29672cc0a

11114040330 has 96 divisors (see below), whose sum is σ = 30857448960. Its totient is φ = 2769217920.

The previous prime is 11114040323. The next prime is 11114040331. The reversal of 11114040330 is 3304041111.

11114040330 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11114040331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12229 + ... + 149591.

It is an arithmetic number, because the mean of its divisors is an integer number (321431760).

Almost surely, 211114040330 is an apocalyptic number.

11114040330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114040330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428724480).

11114040330 is an abundant number, since it is smaller than the sum of its proper divisors (19743408630).

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

11114040330 is a wasteful number, since it uses less digits than its factorization.

11114040330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137436 (or 137433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11114040330 its reverse (3304041111), we get a palindrome (14418081441).

The spelling of 11114040330 in words is "eleven billion, one hundred fourteen million, forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 45 58 62 87 90 93 145 155 174 186 261 279 290 310 435 465 522 558 870 899 930 1305 1395 1798 2610 2697 2790 4495 5394 8091 8990 13485 16182 26970 40455 80910 137363 274726 412089 686815 824178 1236267 1373630 2060445 2472534 3983527 4120890 4258253 6181335 7967054 8516506 11950581 12362670 12774759 19917635 21291265 23901162 25549518 35851743 38324277 39835270 42582530 59752905 63873795 71703486 76648554 119505810 123489337 127747590 179258715 191621385 246978674 358517430 370468011 383242770 617446685 740936022 1111404033 1234893370 1852340055 2222808066 3704680110 5557020165 11114040330