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11022413010 = 2357311739787
BaseRepresentation
bin10100100001111110…
…01010110011010010
31001110011121121002220
422100333022303102
5140033214204020
65021424321510
7540100651620
oct122077126322
931404547086
1011022413010
114746957044
122177473296
13106877419b
14767c66510
15447a1a240
hex290fcacd2

11022413010 has 128 divisors (see below), whose sum is σ = 31391760384. Its totient is φ = 2423796480.

The previous prime is 11022412969. The next prime is 11022413011. The reversal of 11022413010 is 1031422011.

11022413010 is digitally balanced in base 2, 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 (15).

It is not an unprimeable number, because it can be changed into a prime (11022413011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121337 + ... + 1131123.

It is an arithmetic number, because the mean of its divisors is an integer number (245248128).

Almost surely, 211022413010 is an apocalyptic number.

11022413010 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 11022413010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15695880192).

11022413010 is an abundant number, since it is smaller than the sum of its proper divisors (20369347374).

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

11022413010 is a wasteful number, since it uses less digits than its factorization.

11022413010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11022413010 its reverse (1031422011), we get a palindrome (12053835021).

Subtracting from 11022413010 its reverse (1031422011), we obtain a palindrome (9990990999).

The spelling of 11022413010 in words is "eleven billion, twenty-two million, four hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 173 186 210 217 310 346 434 465 519 651 865 930 1038 1085 1211 1302 1730 2170 2422 2595 3255 3633 5190 5363 6055 6510 7266 9787 10726 12110 16089 18165 19574 26815 29361 32178 36330 37541 48935 53630 58722 68509 75082 80445 97870 112623 137018 146805 160890 187705 205527 225246 293610 303397 342545 375410 411054 563115 606794 685090 910191 1027635 1126230 1516985 1693151 1820382 2055270 2123779 3033970 3386302 4247558 4550955 5079453 6371337 8465755 9101910 10158906 10618895 11852057 12742674 16931510 21237790 23704114 25397265 31856685 35556171 50794530 52487681 59260285 63713370 71112342 104975362 118520570 157463043 177780855 262438405 314926086 355561710 367413767 524876810 734827534 787315215 1102241301 1574630430 1837068835 2204482602 3674137670 5511206505 11022413010