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11123020101123 = 3372107444717669
BaseRepresentation
bin1010000111011100011110…
…1010010111011000000011
31110101100110101200022201000
42201313013222113120003
52424214421121213443
635353502255143043
72225416543611300
oct241670752273003
943340411608630
1011123020101123
1135a9278963777
1212b7870b14a83
13628b862100b8
142a64dda380a7
151445068748d3
hexa1dc7a97603

11123020101123 has 96 divisors (see below), whose sum is σ = 19353518438400. Its totient is φ = 6294837302208.

The previous prime is 11123020101113. The next prime is 11123020101143. The reversal of 11123020101123 is 32110102032111.

11123020101123 is a `hidden beast` number, since 111 + 230 + 201 + 0 + 1 + 123 = 666.

11123020101123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11123020101123 - 24 = 11123020101107 is a prime.

It is a super-2 number, since 2×111230201011232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11123020101096 and 11123020101105.

It is not an unprimeable number, because it can be changed into a prime (11123020101103) 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, 629512933 + ... + 629530601.

It is an arithmetic number, because the mean of its divisors is an integer number (201599150400).

Almost surely, 211123020101123 is an apocalyptic number.

11123020101123 is a deficient number, since it is larger than the sum of its proper divisors (8230498337277).

11123020101123 is a wasteful number, since it uses less digits than its factorization.

11123020101123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246 (or 22233 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11123020101123 its reverse (32110102032111), we get a palindrome (43233122133234).

The spelling of 11123020101123 in words is "eleven trillion, one hundred twenty-three billion, twenty million, one hundred one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 49 63 107 147 189 321 441 749 963 1323 2247 2889 4447 5243 6741 13341 15729 17669 20223 31129 40023 47187 53007 93387 120069 123683 141561 159021 217903 280161 371049 475829 477063 653709 840483 865781 1113147 1427487 1890583 1961127 2597343 3330803 3339441 4282461 5671749 5883381 7792029 9992409 12847383 13234081 17015247 23315621 23376087 29977227 39702243 51045741 69946863 78574043 89931681 92638567 119106729 209840589 235722129 277915701 357320187 550018301 629521767 707166387 833747103 1650054903 2121499161 2501241309 3850128107 4950164709 8407422601 11550384321 14850494127 25222267803 34651152963 58851958207 75666803409 103953458889 176555874621 227000410227 411963707449 529667623863 1235891122347 1589002871589 3707673367041 11123020101123