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21100241433304 = 23112316576291503
BaseRepresentation
bin1001100110000110010000…
…11001010011001011011000
32202201011102002211100121201
410303003020121103023120
510231201243301331204
6112513152254243544
74305304436631415
oct463031031231330
982634362740551
1021100241433304
1167a5620230490
1224494501b65b4
13ba098a0c2347
1452d38581110c
15268cebb279a4
hex1330c86532d8

21100241433304 has 64 divisors (see below), whose sum is σ = 45063274890240. Its totient is φ = 9168480034560.

The previous prime is 21100241433269. The next prime is 21100241433377. The reversal of 21100241433304 is 40333414200112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 208017 + ... + 6499519.

It is an arithmetic number, because the mean of its divisors is an integer number (704113670160).

Almost surely, 221100241433304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100241433304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22531637445120).

21100241433304 is an abundant number, since it is smaller than the sum of its proper divisors (23963033456936).

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

21100241433304 is a wasteful number, since it uses less digits than its factorization.

21100241433304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293200 (or 6293196 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 21100241433304 its reverse (40333414200112), we get a palindrome (61433655633416).

The spelling of 21100241433304 in words is "twenty-one trillion, one hundred billion, two hundred forty-one million, four hundred thirty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1657 2024 3314 6628 13256 18227 36454 38111 72908 76222 145816 152444 304888 419221 838442 1676884 3353768 6291503 12583006 25166012 50332024 69206533 138413066 144704569 276826132 289409138 553652264 578818276 1157636552 1591750259 3183500518 6367001036 10425020471 12734002072 20850040942 41700081884 83400163768 114675225181 229350450362 239775470833 458700900724 479550941666 917401801448 959101883332 1918203766664 2637530179163 5275060358326 10550120716652 21100241433304