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11130032320 = 265116315011
BaseRepresentation
bin10100101110110011…
…01101000011000000
31001201200010020001021
422113121231003000
5140243242013240
65040231115224
7542545466551
oct122731550300
931650106037
1011130032320
1147a1682020
1221a7512b14
131084b54a54
1477827c328
154521c754a
hex29766d0c0

11130032320 has 112 divisors (see below), whose sum is σ = 28964388096. Its totient is φ = 4040064000.

The previous prime is 11130032267. The next prime is 11130032321. The reversal of 11130032320 is 2323003111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11130032294 and 11130032303.

It is not an unprimeable number, because it can be changed into a prime (11130032321) 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, 2218615 + ... + 2223625.

It is an arithmetic number, because the mean of its divisors is an integer number (258610608).

Almost surely, 211130032320 is an apocalyptic number.

11130032320 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 11130032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482194048).

11130032320 is an abundant number, since it is smaller than the sum of its proper divisors (17834355776).

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

11130032320 is a wasteful number, since it uses less digits than its factorization.

11130032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11130032320 its reverse (2323003111), we get a palindrome (13453035431).

The spelling of 11130032320 in words is "eleven billion, one hundred thirty million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 631 704 880 1262 1760 2524 3155 3520 5011 5048 6310 6941 10022 10096 12620 13882 20044 20192 25055 25240 27764 34705 40088 40384 50110 50480 55121 55528 69410 80176 100220 100960 110242 111056 138820 160352 200440 201920 220484 222112 275605 277640 320704 400880 440968 444224 551210 555280 801760 881936 1102420 1110560 1603520 1763872 2204840 2221120 3161941 3527744 4409680 6323882 8819360 12647764 15809705 17638720 25295528 31619410 34781351 50591056 63238820 69562702 101182112 126477640 139125404 173906755 202364224 252955280 278250808 347813510 505910560 556501616 695627020 1011821120 1113003232 1391254040 2226006464 2782508080 5565016160 11130032320