Search a number
-
+
21220212001001 = 1323353586134303
BaseRepresentation
bin1001101001100101101110…
…01100101100100011101001
32210010122002001121122120212
410310302313030230203221
510240132443233013001
6113044233020030505
74320052430631356
oct464626714544351
983118061548525
1021220212001001
116841494512692
122468752092435
13bac099172c40
145350c6c9562d
1526bebe2177bb
hex134cb732c8e9

21220212001001 has 32 divisors (see below), whose sum is σ = 23918454669312. Its totient is φ = 18679431260160.

The previous prime is 21220212000979. The next prime is 21220212001013. The reversal of 21220212001001 is 10010021202212.

It is a cyclic number.

It is not a de Polignac number, because 21220212001001 - 242 = 16822165489897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21220212001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618593816 + ... + 618628118.

It is an arithmetic number, because the mean of its divisors is an integer number (747451708416).

Almost surely, 221220212001001 is an apocalyptic number.

It is an amenable number.

21220212001001 is a deficient number, since it is larger than the sum of its proper divisors (2698242668311).

21220212001001 is a wasteful number, since it uses less digits than its factorization.

21220212001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40553.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21220212001001 its reverse (10010021202212), we get a palindrome (31230233203213).

The spelling of 21220212001001 in words is "twenty-one trillion, two hundred twenty billion, two hundred twelve million, one thousand, one".

Divisors: 1 13 23 299 353 4589 5861 8119 34303 76193 105547 134803 445939 788969 1752439 2068933 10256597 12108959 26896129 47585459 157416467 201049883 278506057 618610967 2613648479 3620578741 4624147309 60113915017 70970608699 922617913087 1632324000077 21220212001001