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11220021312 = 263113587881
BaseRepresentation
bin10100111001100001…
…11111000001000000
31001221221110010201220
422130300333001000
5140434311140222
65053203555040
7545020415253
oct123460770100
931857403656
1011220021312
114838456095
12221168ba80
13109a6a1986
147861c509a
1545a050b5c
hex29cc3f040

11220021312 has 112 divisors (see below), whose sum is σ = 30034089792. Its totient is φ = 3696394240.

The previous prime is 11220021289. The next prime is 11220021317. The reversal of 11220021312 is 21312002211.

It is a junction number, because it is equal to n+sod(n) for n = 11220021291 and 11220021300.

It is not an unprimeable number, because it can be changed into a prime (11220021317) 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, 12735112 + ... + 12735992.

It is an arithmetic number, because the mean of its divisors is an integer number (268161516).

Almost surely, 211220021312 is an apocalyptic number.

11220021312 is a gapful number since it is divisible by the number (12) 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 11220021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017044896).

11220021312 is an abundant number, since it is smaller than the sum of its proper divisors (18814068480).

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

11220021312 is a wasteful number, since it uses less digits than its factorization.

11220021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1586 counting only the distinct ones).

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

Adding to 11220021312 its reverse (21312002211), we get a palindrome (32532023523).

The spelling of 11220021312 in words is "eleven billion, two hundred twenty million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 587 678 881 904 1174 1356 1761 1762 1808 2348 2643 2712 3522 3524 3616 4696 5286 5424 7044 7048 7232 9392 10572 10848 14088 14096 18784 21144 21696 28176 28192 37568 42288 56352 56384 66331 84576 99553 112704 132662 169152 198993 199106 265324 298659 397986 398212 517147 530648 597318 795972 796424 1034294 1061296 1194636 1551441 1591944 1592848 2068588 2122592 2389272 3102882 3183888 3185696 4137176 4245184 4778544 6205764 6367776 6371392 8274352 9557088 12411528 12735552 16548704 19114176 24823056 33097408 49646112 58437611 99292224 116875222 175312833 233750444 350625666 467500888 701251332 935001776 1402502664 1870003552 2805005328 3740007104 5610010656 11220021312