Search a number
-
+
10002011110220 = 22519431000761169
BaseRepresentation
bin1001000110001100011001…
…0100011011101101001100
31022102011221100111020102002
42101203012110123231030
52302333104321011340
633134505510051432
72051423105451353
oct221430624335514
938364840436362
1010002011110220
113206913579988
121156559349b78
135772549c287c
1426815827a99a
1512529679c715
hex918c651bb4c

10002011110220 has 96 divisors (see below), whose sum is σ = 22626518745600. Its totient is φ = 3701660304384.

The previous prime is 10002011110211. The next prime is 10002011110229. The reversal of 10002011110220 is 2201111020001.

It is an interprime number because it is at equal distance from previous prime (10002011110211) and next prime (10002011110229).

It is not an unprimeable number, because it can be changed into a prime (10002011110229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163483796 + ... + 163544964.

It is an arithmetic number, because the mean of its divisors is an integer number (235692903600).

Almost surely, 210002011110220 is an apocalyptic number.

10002011110220 is a gapful number since it is divisible by the number (10) 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 10002011110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313259372800).

10002011110220 is an abundant number, since it is smaller than the sum of its proper divisors (12624507635380).

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

10002011110220 is a wasteful number, since it uses less digits than its factorization.

10002011110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71247 (or 71245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002011110220 its reverse (2201111020001), we get a palindrome (12203122130221).

The spelling of 10002011110220 in words is "ten trillion, two billion, eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 10007 16340 20014 40028 50035 61169 100070 122338 190133 200140 244676 305845 380266 430301 611690 760532 860602 950665 1162211 1223380 1721204 1901330 2151505 2324422 2630267 3802660 4303010 4648844 5260534 5811055 8175719 8606020 10521068 11622110 13151335 16351438 23244220 26302670 32702876 40878595 49975073 52605340 81757190 99950146 163514380 199900292 249875365 499750730 612118183 999501460 1224236366 2448472732 3060590915 6121181830 11630245477 12242363660 23260490954 26321081869 46520981908 52642163738 58151227385 105284327476 116302454770 131605409345 232604909540 263210818690 500100555511 526421637380 1000201111022 2000402222044 2500502777555 5001005555110 10002011110220