Search a number
-
+
123554431 = 7311213229
BaseRepresentation
bin1110101110101…
…00101001111111
322121111012211001
413113110221333
5223112220211
620132111131
73030124000
oct727245177
9277435731
10123554431
116381a300
12354654a7
131c79ca40
14125a31a7
15aca8ac1
hex75d4a7f

123554431 has 48 divisors (see below), whose sum is σ = 171304000. Its totient is φ = 88482240.

The previous prime is 123554423. The next prime is 123554467. The reversal of 123554431 is 134455321.

It is not a de Polignac number, because 123554431 - 23 = 123554423 is a prime.

It is a super-2 number, since 2×1235544312 = 30531394839467522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123554431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123554731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539425 + ... + 539653.

Almost surely, 2123554431 is an apocalyptic number.

123554431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123554431 is a deficient number, since it is larger than the sum of its proper divisors (47749569).

123554431 is a wasteful number, since it uses less digits than its factorization.

123554431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 260 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 123554431 is about 11115.5040821368. The cubic root of 123554431 is about 498.0650966232.

The spelling of 123554431 in words is "one hundred twenty-three million, five hundred fifty-four thousand, four hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 121 143 229 343 539 637 847 1001 1573 1603 2519 2977 3773 4459 5929 7007 11011 11221 17633 20839 27709 32747 41503 49049 77077 78547 123431 145873 193963 229229 360217 539539 864017 1021111 1357741 1604603 2521519 9504187 11232221 17650633 123554431