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123113133 = 321113172331
BaseRepresentation
bin1110101011010…
…00111010101101
322120122210110200
413111220322231
5223004110013
620114424113
73023305263
oct725507255
9276583420
10123113133
11635487a0
1235292039
131c676c10
14124ca433
15ac1ce73
hex7568ead

123113133 has 72 divisors (see below), whose sum is σ = 222602016. Its totient is φ = 64627200.

The previous prime is 123113131. The next prime is 123113147. The reversal of 123113133 is 331311321.

It is a happy number.

It is not a de Polignac number, because 123113133 - 21 = 123113131 is a prime.

It is a super-3 number, since 3×1231131333 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371778 + ... + 372108.

Almost surely, 2123113133 is an apocalyptic number.

123113133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123113133 is a deficient number, since it is larger than the sum of its proper divisors (99488883).

123113133 is a wasteful number, since it uses less digits than its factorization.

123113133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 123113133 is about 11095.6357636685. The cubic root of 123113133 is about 497.4714113687.

Adding to 123113133 its reverse (331311321), we get a palindrome (454424454).

The spelling of 123113133 in words is "one hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 289 331 429 561 663 867 993 1287 1683 1989 2431 2601 2979 3179 3641 3757 4303 5627 7293 9537 10923 11271 12909 16881 21879 28611 32769 33813 38727 41327 47333 50643 61897 73151 95659 123981 141999 185691 219453 286977 371943 425997 557073 658359 804661 860931 1052249 1243567 2413983 3156747 3730701 7241949 9470241 11192103 13679237 41037711 123113133