Search a number
-
+
21224320042041 = 332343794829047
BaseRepresentation
bin1001101001101101011000…
…00011101000010000111001
32210011000200100121202111000
410310312230003220100321
510240214401412321131
6113050152405355213
74320256302460404
oct464665403502071
983130610552430
1021224320042041
11684320238a726
1224694b9a08b09
13bac5a229215c
145353966d0d3b
1526c15ebcece6
hex134dac0e8439

21224320042041 has 32 divisors (see below), whose sum is σ = 33573578987520. Its totient is φ = 13219596693072.

The previous prime is 21224320041989. The next prime is 21224320042069. The reversal of 21224320042041 is 14024002342212.

It is a happy number.

21224320042041 is a `hidden beast` number, since 2 + 1 + 22 + 432 + 0 + 0 + 4 + 204 + 1 = 666.

It is not a de Polignac number, because 21224320042041 - 234 = 21207140172857 is a prime.

It is a super-2 number, since 2×212243200420412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21224320041996 and 21224320042014.

It is not an unprimeable number, because it can be changed into a prime (21224320042091) 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, 397387821 + ... + 397441226.

It is an arithmetic number, because the mean of its divisors is an integer number (1049174343360).

Almost surely, 221224320042041 is an apocalyptic number.

It is an amenable number.

21224320042041 is a deficient number, since it is larger than the sum of its proper divisors (12349258945479).

21224320042041 is a wasteful number, since it uses less digits than its factorization.

21224320042041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794829122 (or 794829116 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21224320042041 its reverse (14024002342212), we get a palindrome (35248322384253).

The spelling of 21224320042041 in words is "twenty-one trillion, two hundred twenty-four billion, three hundred twenty million, forty-two thousand, forty-one".

Divisors: 1 3 9 23 27 43 69 129 207 387 621 989 1161 2967 8901 26703 794829047 2384487141 7153461423 18281068081 21460384269 34177649021 54843204243 102532947063 164529612729 307598841189 493588838187 786085927483 922796523567 2358257782449 7074773347347 21224320042041