Search a number
-
+
11130145300 = 22521631733947
BaseRepresentation
bin10100101110110100…
…01000101000010100
31001201200022222000201
422113122020220110
5140243304122200
65040233350244
7542546450131
oct122732105024
931650288021
1011130145300
1147a174999a
1221a7568384
131084b942c1
147782ab588
154521eac6a
hex297688a14

11130145300 has 72 divisors (see below), whose sum is σ = 24447247776. Its totient is φ = 4398053760.

The previous prime is 11130145283. The next prime is 11130145309. The reversal of 11130145300 is 354103111.

It is a super-2 number, since 2×111301453002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130145309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2817927 + ... + 2821873.

It is an arithmetic number, because the mean of its divisors is an integer number (339545108).

Almost surely, 211130145300 is an apocalyptic number.

11130145300 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 11130145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223623888).

11130145300 is an abundant number, since it is smaller than the sum of its proper divisors (13317102476).

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

11130145300 is a wasteful number, since it uses less digits than its factorization.

11130145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 11130145300 its reverse (354103111), we get a palindrome (11484248411).

The spelling of 11130145300 in words is "eleven billion, one hundred thirty million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 173 326 346 652 692 815 865 1630 1730 3260 3460 3947 4075 4325 7894 8150 8650 15788 16300 17300 19735 28199 39470 56398 78940 98675 112796 140995 197350 281990 394700 563980 643361 682831 704975 1286722 1365662 1409950 2573444 2731324 2819900 3216805 3414155 6433610 6828310 12867220 13656620 16084025 17070775 32168050 34141550 64336100 68283100 111301453 222602906 445205812 556507265 1113014530 2226029060 2782536325 5565072650 11130145300