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21344100141 = 3713611281697
BaseRepresentation
bin10011111000001101…
…010001111100101101
32001002111200122000110
4103320031101330231
5322203042201031
613445542050233
71353632600130
oct237015217455
961074618013
1021344100141
119063208391
124178119979
132021cb3770
141066a06217
1584dc6cc46
hex4f8351f2d

21344100141 has 32 divisors (see below), whose sum is σ = 35600443648. Its totient is φ = 11073853440.

The previous prime is 21344100133. The next prime is 21344100179. The reversal of 21344100141 is 14100144312.

It is not a de Polignac number, because 21344100141 - 23 = 21344100133 is a prime.

It is a super-2 number, since 2×213441001412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344100121) 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 31 ways as a sum of consecutive naturals, for example, 624196 + ... + 657501.

It is an arithmetic number, because the mean of its divisors is an integer number (1112513864).

Almost surely, 221344100141 is an apocalyptic number.

21344100141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21344100141 is a deficient number, since it is larger than the sum of its proper divisors (14256343507).

21344100141 is a wasteful number, since it uses less digits than its factorization.

21344100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281781.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21344100141 its reverse (14100144312), we get a palindrome (35444244453).

The spelling of 21344100141 in words is "twenty-one billion, three hundred forty-four million, one hundred thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 39 61 91 183 273 427 793 1281 2379 5551 16653 1281697 3845091 8971879 16662061 26915637 49986183 78183517 116634427 234550551 349903281 547284619 1016385721 1641853857 3049157163 7114700047 21344100141