Search a number
-
+
11215453000 = 2353192772131
BaseRepresentation
bin10100111000111111…
…00011101101001000
31001221121212001012011
422130133203231020
5140432123444000
65052522025304
7544633530463
oct123437435510
931847761164
1011215453000
114835915924
122210048234
13109976252b
147857562da
1545994c2ba
hex29c7e3b48

11215453000 has 128 divisors (see below), whose sum is σ = 27738172800. Its totient is φ = 4232736000.

The previous prime is 11215452977. The next prime is 11215453001. The reversal of 11215453000 is 35451211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11215453001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5261935 + ... + 5264065.

It is an arithmetic number, because the mean of its divisors is an integer number (216704475).

Almost surely, 211215453000 is an apocalyptic number.

11215453000 is a gapful number since it is divisible by the number (10) 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 11215453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869086400).

11215453000 is an abundant number, since it is smaller than the sum of its proper divisors (16522719800).

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

11215453000 is a wasteful number, since it uses less digits than its factorization.

11215453000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 11215453000 in words is "eleven billion, two hundred fifteen million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 277 380 475 500 554 760 950 1000 1108 1385 1900 2131 2216 2375 2770 3800 4262 4750 5263 5540 6925 8524 9500 10526 10655 11080 13850 17048 19000 21052 21310 26315 27700 34625 40489 42104 42620 52630 53275 55400 69250 80978 85240 105260 106550 131575 138500 161956 202445 210520 213100 263150 266375 277000 323912 404890 426200 526300 532750 590287 657875 809780 1012225 1052600 1065500 1180574 1315750 1619560 2024450 2131000 2361148 2631500 2951435 4048900 4722296 5061125 5263000 5902870 8097800 10122250 11215453 11805740 14757175 20244500 22430906 23611480 29514350 40489000 44861812 56077265 59028700 73785875 89723624 112154530 118057400 147571750 224309060 280386325 295143500 448618120 560772650 590287000 1121545300 1401931625 2243090600 2803863250 5607726500 11215453000