Search a number
-
+
21134412100241 = 1119071007504033
BaseRepresentation
bin1001100111000101111010…
…01000000011001010010001
32202211102121111222002110122
410303202331020003022101
510232231233444201431
6112541003114240025
74310624301541166
oct463427510031221
982742544862418
1021134412100241
1168090657262a0
122453ba7a26015
13ba3c745628ab
14530ca7b1806d
15269b4b989a7b
hex1338bd203291

21134412100241 has 8 divisors (see below), whose sum is σ = 23067812362464. Its totient is φ = 19203026849920.

The previous prime is 21134412100231. The next prime is 21134412100261. The reversal of 21134412100241 is 14200121443112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21134412100241 - 222 = 21134407905937 is a prime.

It is a super-3 number, since 3×211344121002413 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21134412100241.

It is not an unprimeable number, because it can be changed into a prime (21134412100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503731040 + ... + 503772993.

It is an arithmetic number, because the mean of its divisors is an integer number (2883476545308).

Almost surely, 221134412100241 is an apocalyptic number.

It is an amenable number.

21134412100241 is a deficient number, since it is larger than the sum of its proper divisors (1933400262223).

21134412100241 is a wasteful number, since it uses less digits than its factorization.

21134412100241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007505951.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 21134412100241 its reverse (14200121443112), we get a palindrome (35334533543353).

The spelling of 21134412100241 in words is "twenty-one trillion, one hundred thirty-four billion, four hundred twelve million, one hundred thousand, two hundred forty-one".

Divisors: 1 11 1907 20977 1007504033 11082544363 1921310190931 21134412100241