Search a number
-
+
11220003090 = 2335476171433
BaseRepresentation
bin10100111001100001…
…11010100100010010
31001221221102012202000
422130300322210102
5140434310044330
65053203334430
7545020311162
oct123460724422
931857365660
1011220003090
11483844342a
122211681416
13109a6965aa
147861bc5a2
1545a04a560
hex29cc3a912

11220003090 has 128 divisors (see below), whose sum is σ = 30627486720. Its totient is φ = 2921554944.

The previous prime is 11220003089. The next prime is 11220003127. The reversal of 11220003090 is 9030002211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7829014 + ... + 7830446.

It is an arithmetic number, because the mean of its divisors is an integer number (239277240).

Almost surely, 211220003090 is an apocalyptic number.

11220003090 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 11220003090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313743360).

11220003090 is an abundant number, since it is smaller than the sum of its proper divisors (19407483630).

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

11220003090 is a wasteful number, since it uses less digits than its factorization.

11220003090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 11220003090 in words is "eleven billion, two hundred twenty million, three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 617 705 846 1234 1269 1410 1433 1851 2115 2538 2866 3085 3702 4230 4299 5553 6170 6345 7165 8598 9255 11106 12690 12897 14330 16659 18510 21495 25794 27765 28999 33318 38691 42990 55530 57998 64485 67351 77382 83295 86997 128970 134702 144995 166590 173994 193455 202053 260991 289990 336755 386910 404106 434985 521982 606159 673510 782973 869970 884161 1010265 1212318 1304955 1565946 1768322 1818477 2020530 2609910 2652483 3030795 3636954 3914865 4420805 5304966 6061590 7829730 7957449 8841610 9092385 13262415 15914898 18184770 23872347 26524830 39787245 41555567 47744694 79574490 83111134 119361735 124666701 207777835 238723470 249333402 374000103 415555670 623333505 748000206 1122000309 1246667010 1870000515 2244000618 3740001030 5610001545 11220003090