Search a number
-
+
10011322312220 = 2252373329691329
BaseRepresentation
bin1001000110101111000101…
…0011110110011000011100
31022110001222021011022022102
42101223301103312120130
52303011142002442340
633143045445304232
72052202620406025
oct221536123663034
938401867138272
1010011322312220
11320a8614a5849
121158317705078
135780a9a93658
1426879cb3dc4c
1512563de4c215
hex91af14f661c

10011322312220 has 48 divisors (see below), whose sum is σ = 21967783709760. Its totient is φ = 3825193168896.

The previous prime is 10011322312219. The next prime is 10011322312247. The reversal of 10011322312220 is 2221322311001.

10011322312220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100113223122202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10011322312192 and 10011322312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14508485 + ... + 15182844.

It is an arithmetic number, because the mean of its divisors is an integer number (457662160620).

Almost surely, 210011322312220 is an apocalyptic number.

10011322312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011322312220 is an abundant number, since it is smaller than the sum of its proper divisors (11956461397540).

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

10011322312220 is a wasteful number, since it uses less digits than its factorization.

10011322312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29692094 (or 29692092 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10011322312220 its reverse (2221322311001), we get a palindrome (12232644623221).

The spelling of 10011322312220 in words is "ten trillion, eleven billion, three hundred twenty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 733 1466 2932 3665 7330 14660 16859 33718 67436 84295 168590 337180 29691329 59382658 118765316 148456645 296913290 593826580 682900567 1365801134 2731602268 3414502835 6829005670 13658011340 21763744157 43527488314 87054976628 108818720785 217637441570 435274883140 500566115611 1001132231222 2002264462444 2502830578055 5005661156110 10011322312220