Search a number
-
+
21101220222201 = 32723110691315621
BaseRepresentation
bin1001100110001000000101…
…01111000101010011111001
32202201020221022120222120100
410303010002233011103321
510231210244334102301
6112513433341150013
74305340623330360
oct463040257052371
982636838528510
1021101220222201
1167a5a82787029
122449683b5b309
13ba0ab4b13a82
1452d4397da7d7
15268d57a19286
hex133102bc54f9

21101220222201 has 48 divisors (see below), whose sum is σ = 36351583107840. Its totient is φ = 11532535470720.

The previous prime is 21101220222179. The next prime is 21101220222211. The reversal of 21101220222201 is 10222202210112.

It is a happy number.

21101220222201 is a `hidden beast` number, since 21 + 1 + 0 + 1 + 220 + 222 + 201 = 666.

It is not a de Polignac number, because 21101220222201 - 231 = 21099072738553 is a prime.

It is a super-2 number, since 2×211012202222012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21101220222211) 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, 15381171 + ... + 16696791.

It is an arithmetic number, because the mean of its divisors is an integer number (757324648080).

Almost surely, 221101220222201 is an apocalyptic number.

21101220222201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21101220222201 is a deficient number, since it is larger than the sum of its proper divisors (15250362885639).

21101220222201 is a wasteful number, since it uses less digits than its factorization.

21101220222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326726 (or 1326723 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21101220222201 its reverse (10222202210112), we get a palindrome (31323422432313).

The spelling of 21101220222201 in words is "twenty-one trillion, one hundred one billion, two hundred twenty million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 11069 33207 77483 99621 232449 254587 697347 763761 1315621 1782109 2291283 3946863 5346327 9209347 11840589 16038981 27628041 30259283 82884123 90777849 211814981 272333547 635444943 1906334829 14562608849 43687826547 101938261943 131063479641 305814785829 334940003527 917444357487 1004820010581 2344580024689 3014460031743 7033740074067 21101220222201