Search a number
-
+
33310103220 = 223253726918593
BaseRepresentation
bin11111000001011011…
…111101011010110100
310011222102211120100200
4133001123331122310
51021204341300340
623145155040500
72256312130362
oct370133753264
9104872746320
1033310103220
1113143759629
1265575a0130
1331ab0a3c64
14187dcd4632
15cee525330
hex7c16fd6b4

33310103220 has 144 divisors (see below), whose sum is σ = 104162844240. Its totient is φ = 8610029568.

The previous prime is 33310103053. The next prime is 33310103227. The reversal of 33310103220 is 2230101333.

33310103220 is a `hidden beast` number, since 3 + 331 + 0 + 10 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 143137296 + 33166965924 = 11964^2 + 182118^2 .

It is a super-2 number, since 2×333101032202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33310103193 and 33310103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33310103227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782244 + ... + 1800836.

It is an arithmetic number, because the mean of its divisors is an integer number (723353085).

Almost surely, 233310103220 is an apocalyptic number.

33310103220 is a gapful number since it is divisible by the number (30) 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 33310103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52081422120).

33310103220 is an abundant number, since it is smaller than the sum of its proper divisors (70852741020).

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

33310103220 is a wasteful number, since it uses less digits than its factorization.

33310103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914 (or 18909 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33310103220 its reverse (2230101333), we get a palindrome (35540204553).

The spelling of 33310103220 in words is "thirty-three billion, three hundred ten million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 269 333 370 444 538 555 666 740 807 1076 1110 1332 1345 1614 1665 2220 2421 2690 3228 3330 4035 4842 5380 6660 8070 9684 9953 12105 16140 18593 19906 24210 29859 37186 39812 48420 49765 55779 59718 74372 89577 92965 99530 111558 119436 149295 167337 179154 185930 199060 223116 278895 298590 334674 358308 371860 447885 557790 597180 669348 687941 836685 895770 1115580 1375882 1673370 1791540 2063823 2751764 3346740 3439705 4127646 5001517 6191469 6879410 8255292 10003034 10319115 12382938 13758820 15004551 20006068 20638230 24765876 25007585 30009102 30957345 41276460 45013653 50015170 60018204 61914690 75022755 90027306 100030340 123829380 150045510 180054612 185056129 225068265 300091020 370112258 450136530 555168387 740224516 900273060 925280645 1110336774 1665505161 1850561290 2220673548 2775841935 3331010322 3701122580 5551683870 6662020644 8327525805 11103367740 16655051610 33310103220