Search a number
-
+
10212231100200 = 2335262632717609
BaseRepresentation
bin1001010010011011100001…
…1010000011011100101000
31100011021112221111012112220
42110212320122003130220
52314304122130201300
633415233442034040
72102544415052463
oct224467032033450
940137487435486
1010212231100200
113287a8a250898
12118b247648920
1359101746519c
142743bb7c82da
1512a99c086da0
hex949b8683728

10212231100200 has 96 divisors (see below), whose sum is σ = 31662982814400. Its totient is φ = 2722825807360.

The previous prime is 10212231099991. The next prime is 10212231100217. The reversal of 10212231100200 is 200113221201.

It is a super-3 number, since 3×102122311002003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212231100200.

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 23 ways as a sum of consecutive naturals, for example, 2398996 + ... + 5116604.

It is an arithmetic number, because the mean of its divisors is an integer number (329822737650).

Almost surely, 210212231100200 is an apocalyptic number.

10212231100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212231100200 is an abundant number, since it is smaller than the sum of its proper divisors (21450751714200).

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

10212231100200 is a wasteful number, since it uses less digits than its factorization.

10212231100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723891 (or 2723882 counting only the distinct ones).

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

Adding to 10212231100200 its reverse (200113221201), we get a palindrome (10412344321401).

The spelling of 10212231100200 in words is "ten trillion, two hundred twelve billion, two hundred thirty-one million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6263 12526 18789 25052 31315 37578 50104 62630 75156 93945 125260 150312 156575 187890 250520 313150 375780 469725 626300 751560 939450 1252600 1878900 2717609 3757800 5435218 8152827 10870436 13588045 16305654 21740872 27176090 32611308 40764135 54352180 65222616 67940225 81528270 108704360 135880450 163056540 203820675 271760900 326113080 407641350 543521800 815282700 1630565400 17020385167 34040770334 51061155501 68081540668 85101925835 102122311002 136163081336 170203851670 204244622004 255305777505 340407703340 408489244008 425509629175 510611555010 680815406680 851019258350 1021223110020 1276528887525 1702038516700 2042446220040 2553057775050 3404077033400 5106115550100 10212231100200