Search a number
-
+
221020221201012 = 22333835343299033
BaseRepresentation
bin110010010000010001000111…
…110001011101101001110100
31001222120022211020021102201000
4302100101013301131221310
5212432143403111413022
62102023142104403300
764361120056430322
oct6220210761355164
91058508736242630
10221020221201012
1164473170978952
1220957248a76530
13964316acb433c
143c81615b10d12
151a8439aa4d6ac
hexc90447c5da74

221020221201012 has 48 divisors (see below), whose sum is σ = 574511512135680. Its totient is φ = 73481048288064.

The previous prime is 221020221200963. The next prime is 221020221201037. The reversal of 221020221201012 is 210102122020122.

It is a happy number.

221020221201012 is a `hidden beast` number, since 2 + 210 + 20 + 221 + 201 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2671608153 + ... + 2671690880.

It is an arithmetic number, because the mean of its divisors is an integer number (11968989836160).

Almost surely, 2221020221201012 is an apocalyptic number.

It is an amenable number.

221020221201012 is an abundant number, since it is smaller than the sum of its proper divisors (353491290934668).

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

221020221201012 is a wasteful number, since it uses less digits than its factorization.

221020221201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343299429 (or 5343299421 counting only the distinct ones).

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

Adding to 221020221201012 its reverse (210102122020122), we get a palindrome (431122343221134).

The spelling of 221020221201012 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 383 766 1149 1532 2298 3447 4596 6894 10341 13788 20682 41364 5343299033 10686598066 16029897099 21373196132 32059794198 48089691297 64119588396 96179382594 144269073891 192358765188 288538147782 577076295564 2046483529639 4092967059278 6139450588917 8185934118556 12278901177834 18418351766751 24557802355668 36836703533502 55255055300253 73673407067004 110510110600506 221020221201012