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1104214410321 = 311537922335837
BaseRepresentation
bin10000000100011000010…
…011101100010001010001
310220120011121012222211220
4100010120103230101101
5121042412342112241
62203134042555253
7142530314424051
oct20043023542121
93816147188756
101104214410321
1139632727a930
1215a007208b29
1380185c5b0a9
143b6310b1561
151daca97a166
hex101184ec451

1104214410321 has 64 divisors (see below), whose sum is σ = 1664626360320. Its totient is φ = 645357623040.

The previous prime is 1104214410287. The next prime is 1104214410337. The reversal of 1104214410321 is 1230144124011.

It is a happy number.

It is not a de Polignac number, because 1104214410321 - 27 = 1104214410193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1104214410291 and 1104214410300.

It is not an unprimeable number, because it can be changed into a prime (1104214414321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30794215 + ... + 30830051.

It is an arithmetic number, because the mean of its divisors is an integer number (26009786880).

Almost surely, 21104214410321 is an apocalyptic number.

1104214410321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1104214410321 is a deficient number, since it is larger than the sum of its proper divisors (560411949999).

1104214410321 is a wasteful number, since it uses less digits than its factorization.

1104214410321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36206.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1104214410321 its reverse (1230144124011), we get a palindrome (2334358534332).

The spelling of 1104214410321 in words is "one trillion, one hundred four billion, two hundred fourteen million, four hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 11 33 53 79 159 223 237 583 669 869 1749 2453 2607 4187 7359 11819 12561 17617 35457 35837 46057 52851 107511 130009 138171 193787 390027 394207 581361 933701 1182621 1899361 2801103 2831123 5698083 7991651 8493369 10270711 20892971 23974953 30812133 31142353 62678913 87908161 93427059 150049519 263724483 423557503 450148557 631340429 1270672509 1650544709 1894021287 4659132533 4951634127 6944744719 13977397599 20834234157 33461042737 100383128211 368071470107 1104214410321