Search a number
-
+
21112210022211 = 32711103295776209
BaseRepresentation
bin1001100110011100100011…
…10001110101111101000011
32202202022022012211200001100
410303032101301311331003
510231400301231202321
6112522452042505443
74306210150151550
oct463162161657503
982668265750040
1021112210022211
1167aa702188480
12244b830505283
13ba1b468a9809
1452db9d1b3a27
1526929c741326
hex133391c75f43

21112210022211 has 48 divisors (see below), whose sum is σ = 38389385848320. Its totient is φ = 10860902357760.

The previous prime is 21112210022081. The next prime is 21112210022231. The reversal of 21112210022211 is 11222001221112.

21112210022211 is a `hidden beast` number, since 211 + 1 + 221 + 0 + 0 + 22 + 211 = 666.

It is not a de Polignac number, because 21112210022211 - 29 = 21112210021699 is a prime.

It is a super-2 number, since 2×211122100222112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21112210022231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147816726 + ... + 147959483.

It is an arithmetic number, because the mean of its divisors is an integer number (799778871840).

Almost surely, 221112210022211 is an apocalyptic number.

21112210022211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21112210022211 is a deficient number, since it is larger than the sum of its proper divisors (17277175826109).

21112210022211 is a wasteful number, since it uses less digits than its factorization.

21112210022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295776336 (or 295776333 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112210022211 its reverse (11222001221112), we get a palindrome (32334211243323).

The spelling of 21112210022211 in words is "twenty-one trillion, one hundred twelve billion, two hundred ten million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 103 231 309 693 721 927 1133 2163 3399 6489 7931 10197 23793 71379 295776209 887328627 2070433463 2661985881 3253538299 6211300389 9760614897 18633901167 22774768093 29281844691 30464949527 68324304279 91394848581 204972912837 213254646689 274184545743 335114444797 639763940067 1005343334391 1919291820201 2345801113579 3016030003173 7037403340737 21112210022211