Search a number
-
+
10033500200220 = 22325723346221539
BaseRepresentation
bin1001001000000001101100…
…1101110001110100011100
31022112012012212202202020200
42102000123031301310130
52303342102022401340
633201154254343500
72053616326345440
oct222003315616434
938465185682220
1010033500200220
113219202321302
121160686abab90
1357a20272a0c3
142698a4388820
15125edaeb8330
hex9201b371d1c

10033500200220 has 144 divisors (see below), whose sum is σ = 36295096481280. Its totient is φ = 2193659664768.

The previous prime is 10033500200137. The next prime is 10033500200267. The reversal of 10033500200220 is 2200200533001.

It is a super-2 number, since 2×100335002002202 (a number of 27 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 = 10033500200193 and 10033500200202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173081790 + ... + 173139749.

It is an arithmetic number, because the mean of its divisors is an integer number (252049281120).

Almost surely, 210033500200220 is an apocalyptic number.

10033500200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033500200220 is an abundant number, since it is smaller than the sum of its proper divisors (26261596281060).

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

10033500200220 is a wasteful number, since it uses less digits than its factorization.

10033500200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346221584 (or 346221579 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10033500200220 its reverse (2200200533001), we get a palindrome (12233700733221).

The spelling of 10033500200220 in words is "ten trillion, thirty-three billion, five hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 346221539 692443078 1038664617 1384886156 1731107695 2077329234 2423550773 3115993851 3462215390 4154658468 4847101546 5193323085 6231987702 6924430780 7270652319 7963095397 9694203092 10386646170 12117753865 12463975404 14541304638 15579969255 15926190794 20773292340 21811956957 23889286191 24235507730 29082609276 31159938510 31852381588 36353261595 39815476985 43623913914 47778572382 48471015460 55741667779 62319877020 71667858573 72706523190 79630953970 87247827828 95557144764 109059784785 111483335558 119446430955 143335717146 145413046380 159261907940 167225003337 218119569570 222966671116 238892861910 278708338895 286671434292 334450006674 358339292865 436239139140 477785723820 501675010011 557416677790 668900013348 716678585730 836125016685 1003350020022 1114833355580 1433357171460 1672250033370 2006700040044 2508375050055 3344500066740 5016750100110 10033500200220