Search a number
-
+
1323012120001 = 11131722310113781
BaseRepresentation
bin10011010000001001101…
…010101101110111000001
311200110220222201021022221
4103100021222231313001
5133134012100320001
62451441113131041
7164404321320265
oct23201152556701
94613828637287
101323012120001
114700a493a590
121944aa0b9a81
13979b483b0b0
14480699100a5
152463432b1a1
hex13409aaddc1

1323012120001 has 96 divisors (see below), whose sum is σ = 1740088417536. Its totient is φ = 989514240000.

The previous prime is 1323012119987. The next prime is 1323012120029. The reversal of 1323012120001 is 1000212103231.

It is not a de Polignac number, because 1323012120001 - 25 = 1323012119969 is a prime.

It is a super-2 number, since 2×13230121200012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1323012120601) 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 95 ways as a sum of consecutive naturals, for example, 95995731 + ... + 96009511.

It is an arithmetic number, because the mean of its divisors is an integer number (18125921016).

Almost surely, 21323012120001 is an apocalyptic number.

1323012120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1323012120001 is a deficient number, since it is larger than the sum of its proper divisors (417076297535).

1323012120001 is a wasteful number, since it uses less digits than its factorization.

1323012120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1323012120001 its reverse (1000212103231), we get a palindrome (2323224223232).

The spelling of 1323012120001 in words is "one trillion, three hundred twenty-three billion, twelve million, one hundred twenty thousand, one".

Divisors: 1 11 13 17 23 101 143 187 221 253 289 299 391 1111 1313 1717 2323 2431 3179 3289 3757 4301 5083 6647 13781 14443 18887 22321 25553 29189 30199 39491 41327 55913 73117 86411 151591 179153 234277 245531 316963 321079 332189 379457 434401 513383 671347 950521 1391881 1970683 2577047 3045601 3486593 3982709 4120519 4174027 5388371 5647213 7384817 8727511 15310691 18094453 23661977 32013263 33501611 43809799 45325709 51775217 59272081 70048823 91602307 96002621 199038983 260281747 307605701 352145893 402253609 416172419 544225471 569527387 770537053 1007625377 1190829991 3383662711 4424789699 4577896609 5229296917 5986480181 7074931123 9251833007 13099129901 57522266087 77824242353 101770163077 120273829091 1323012120001