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123423217137 = 3211109157263277
BaseRepresentation
bin111001011110010011…
…0001101010111110001
3102210120120120001121100
41302330212031113301
54010232320422022
6132411055515013
711626354015203
oct1627446152761
9383516501540
10123423217137
11483862088a0
121bb06228a69
13b83c47ba3c
145d8bc38773
1533257971ac
hex1cbc98d5f1

123423217137 has 96 divisors (see below), whose sum is σ = 198986261760. Its totient is φ = 73098754560.

The previous prime is 123423217133. The next prime is 123423217187. The reversal of 123423217137 is 731712324321.

123423217137 is a `hidden beast` number, since 1 + 2 + 3 + 423 + 217 + 13 + 7 = 666.

It is not a de Polignac number, because 123423217137 - 22 = 123423217133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123423217133) 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, 445571043 + ... + 445571319.

It is an arithmetic number, because the mean of its divisors is an integer number (2072773560).

Almost surely, 2123423217137 is an apocalyptic number.

It is an amenable number.

123423217137 is a deficient number, since it is larger than the sum of its proper divisors (75563044623).

123423217137 is a wasteful number, since it uses less digits than its factorization.

123423217137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 820 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The spelling of 123423217137 in words is "one hundred twenty-three billion, four hundred twenty-three million, two hundred seventeen thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 33 99 109 157 263 277 327 471 789 831 981 1199 1413 1727 2367 2493 2893 3047 3597 5181 8679 9141 10791 15543 17113 26037 27423 28667 30193 41291 43489 51339 72851 86001 90579 123873 130467 154017 188243 218553 258003 271737 315337 332123 371619 391401 454201 478379 564729 655659 801361 946011 996369 1362603 1435137 1694187 2404083 2838033 2989107 4087809 4305411 4500719 4740301 7212249 7940759 11437607 13502157 14220903 23822277 34312821 40506471 42662709 49507909 52143311 71466831 87348349 102938463 125813677 148523727 156429933 262045047 377441031 445571181 469289799 786135141 1132323093 1246699163 3740097489 11220292467 13713690793 41141072379 123423217137