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11132224500 = 2235310968087
BaseRepresentation
bin10100101111000100…
…00100001111110100
31001201211020121011010
422113202010033310
5140244322141000
65040350112220
7542603230005
oct122742041764
931654217133
1011132224500
1147a293a041
1221a81ab670
1310854417b7
1477868d1ac
154524abd50
hex2978843f4

11132224500 has 96 divisors (see below), whose sum is σ = 32714922240. Its totient is φ = 2941315200.

The previous prime is 11132224471. The next prime is 11132224517. The reversal of 11132224500 is 542223111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129457 + ... + 197543.

It is an arithmetic number, because the mean of its divisors is an integer number (340780440).

Almost surely, 211132224500 is an apocalyptic number.

11132224500 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 11132224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357461120).

11132224500 is an abundant number, since it is smaller than the sum of its proper divisors (21582697740).

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

11132224500 is a wasteful number, since it uses less digits than its factorization.

11132224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68218 (or 68206 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11132224500 its reverse (542223111), we get a palindrome (11674447611).

The spelling of 11132224500 in words is "eleven billion, one hundred thirty-two million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 125 150 218 250 300 327 375 436 500 545 654 750 1090 1308 1500 1635 2180 2725 3270 5450 6540 8175 10900 13625 16350 27250 32700 40875 54500 68087 81750 136174 163500 204261 272348 340435 408522 680870 817044 1021305 1361740 1702175 2042610 3404350 4085220 5106525 6808700 7421483 8510875 10213050 14842966 17021750 20426100 22264449 25532625 29685932 34043500 37107415 44528898 51065250 74214830 89057796 102130500 111322245 148429660 185537075 222644490 371074150 445288980 556611225 742148300 927685375 1113222450 1855370750 2226444900 2783056125 3710741500 5566112250 11132224500