Search a number
-
+
13444103110221 = 337231937349841
BaseRepresentation
bin1100001110100011001011…
…1111010111111001001101
31202121020120122212000212000
43003220302333113321031
53230232010344011341
644332045151302513
72555206256634600
oct303506277277115
952536518760760
1013444103110221
11431368079a613
121611682b1aa39
13766a0945ca84
143469ab6aa337
15184aa2da88b6
hexc3a32fd7e4d

13444103110221 has 96 divisors (see below), whose sum is σ = 23941955036160. Its totient is φ = 7426571443200.

The previous prime is 13444103110219. The next prime is 13444103110309. The reversal of 13444103110221 is 12201130144431.

It is a happy number.

13444103110221 is a `hidden beast` number, since 1 + 3 + 444 + 103 + 110 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 13444103110221 - 21 = 13444103110219 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444103110421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38254261 + ... + 38604101.

It is an arithmetic number, because the mean of its divisors is an integer number (249395364960).

Almost surely, 213444103110221 is an apocalyptic number.

It is an amenable number.

13444103110221 is a deficient number, since it is larger than the sum of its proper divisors (10497851925939).

13444103110221 is a wasteful number, since it uses less digits than its factorization.

13444103110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350832 (or 350819 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13444103110221 its reverse (12201130144431), we get a palindrome (25645233254652).

The spelling of 13444103110221 in words is "thirteen trillion, four hundred forty-four billion, one hundred three million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 279 441 651 837 937 1323 1519 1953 2811 4557 5859 6559 8433 13671 19677 25299 29047 41013 45913 59031 87141 137739 177093 203329 261423 349841 413217 609987 784269 1049523 1239651 1423303 1829961 2448887 3148569 4269909 5489883 7346661 9445707 10845071 12809727 17142209 22039983 32535213 38429181 51426627 66119949 75915497 97605639 154279881 227746491 292816917 327801017 462839643 531408479 683239473 983403051 1594225437 2049718419 2294607119 2950209153 4782676311 6883821357 8850627459 10161831527 14348028933 16062249833 20651464071 30485494581 48186749499 61954392213 71132820689 91456483743 144560248497 213398462067 274369451229 433680745491 497929744823 640195386201 1493789234469 1920586158603 4481367703407 13444103110221