Search a number
-
+
10011211200211 = 1317311690186461
BaseRepresentation
bin1001000110101110101010…
…1011111111011011010011
31022110001200112002020021211
42101223222223333123103
52303010430031401321
633143030440000551
72052200101103224
oct221535253773323
938401615066254
1010011211200211
11320a804804741
1211582a6460157
1357808ca5c0c0
1426878c09924b
151256343000e1
hex91aeaaff6d3

10011211200211 has 32 divisors (see below), whose sum is σ = 11784574158336. Its totient is φ = 8416362240000.

The previous prime is 10011211200181. The next prime is 10011211200241. The reversal of 10011211200211 is 11200211211001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10011211200181) and next prime (10011211200241).

It is not a de Polignac number, because 10011211200211 - 221 = 10011209103059 is a prime.

It is a super-2 number, since 2×100112112002112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10011211200191 and 10011211200200.

It is not an unprimeable number, because it can be changed into a prime (10011211200241) 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, 115745521 + ... + 115831981.

It is an arithmetic number, because the mean of its divisors is an integer number (368267942448).

Almost surely, 210011211200211 is an apocalyptic number.

10011211200211 is a deficient number, since it is larger than the sum of its proper divisors (1773362958125).

10011211200211 is a wasteful number, since it uses less digits than its factorization.

10011211200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103423.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011211200211 its reverse (11200211211001), we get a palindrome (21211422411212).

The spelling of 10011211200211 in words is "ten trillion, eleven billion, two hundred eleven million, two hundred thousand, two hundred eleven".

Divisors: 1 13 17 31 221 403 527 6851 16901 86461 219713 287317 523931 1123993 1469837 2680291 3735121 6811103 8906827 19107881 34843783 45564947 115788751 592344311 1461277361 18996605693 24841715137 45299598191 322942296781 588894776483 770093169247 10011211200211