Search a number
-
+
123013053 = 3331475359
BaseRepresentation
bin1110101010100…
…00011110111101
322120110201012000
413111100132331
5222442404203
620112332513
73022410432
oct725203675
9276421160
10123013053
116348a589
1235244139
131c6404b7
14124a1b89
15abed4a3
hex75507bd

123013053 has 64 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 74917440.

The previous prime is 123013031. The next prime is 123013057. The reversal of 123013053 is 350310321.

It is not a de Polignac number, because 123013053 - 218 = 122750909 is a prime.

It is a super-2 number, since 2×1230130532 = 30264422416761618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013057) 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, 2084938 + ... + 2084996.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 2123013053 is an apocalyptic number.

It is an amenable number.

123013053 is a deficient number, since it is larger than the sum of its proper divisors (76052547).

123013053 is a wasteful number, since it uses less digits than its factorization.

123013053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 123013053 is about 11091.1249654848. The cubic root of 123013053 is about 497.3365748582.

Adding to 123013053 its reverse (350310321), we get a palindrome (473323374).

The spelling of 123013053 in words is "one hundred twenty-three million, thirteen thousand, fifty-three".

Divisors: 1 3 9 27 31 47 53 59 93 141 159 177 279 423 477 531 837 1269 1431 1457 1593 1643 1829 2491 2773 3127 4371 4929 5487 7473 8319 9381 13113 14787 16461 22419 24957 28143 39339 44361 49383 67257 74871 77221 84429 85963 96937 146969 231663 257889 290811 440907 694989 773667 872433 1322721 2084967 2321001 2617299 3968163 4556039 13668117 41004351 123013053