Search a number
-
+
11322132112123 = 7315313941916903
BaseRepresentation
bin1010010011000010001110…
…1010011010001011111011
31111002101101212001111021221
42210300203222122023323
52441000211310041443
640025152104412511
72245665663023140
oct244604352321373
944071355044257
1011322132112123
113675764456668
12132a37b177137
1364189857c8a1
142b1dcbc083c7
151497abd90eed
hexa4c23a9a2fb

11322132112123 has 64 divisors (see below), whose sum is σ = 13740436684800. Its totient is φ = 9125765700480.

The previous prime is 11322132112103. The next prime is 11322132112129. The reversal of 11322132112123 is 32121123122311.

11322132112123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11322132112123 - 217 = 11322131981051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11322132112129) 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, 669821290 + ... + 669838192.

It is an arithmetic number, because the mean of its divisors is an integer number (214694323200).

Almost surely, 211322132112123 is an apocalyptic number.

11322132112123 is a deficient number, since it is larger than the sum of its proper divisors (2418304572677).

11322132112123 is a wasteful number, since it uses less digits than its factorization.

11322132112123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17552.

The product of its digits is 864, while the sum is 25.

Adding to 11322132112123 its reverse (32121123122311), we get a palindrome (43443255234434).

The spelling of 11322132112123 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 7 31 53 139 217 371 419 973 1643 2933 4309 7367 11501 12989 16903 22207 30163 51569 58241 90923 118321 155449 228377 407687 523993 688417 895859 1598639 1805471 2349517 3086773 3667951 4818919 6271013 7082357 12638297 16446619 21607411 27771629 49576499 72835027 95689963 124524401 194401403 219553067 375364921 509845189 669829741 871670807 984447623 1536871469 2627554447 3860256431 6891133361 11636312551 27021795017 30517876313 52175724019 81454187857 213625134191 365230068133 1617447444589 11322132112123