Search a number
-
+
123430332429 = 3216782122643
BaseRepresentation
bin111001011110100000…
…1010110100000001101
3102210121001221112221200
41302331001112200031
54010241131114204
6132411512220113
711626501341405
oct1627501264015
9383531845850
10123430332429
114838a2286a8
121bb0869a639
13b840aa0581
145d8cb6b805
153326200539
hex1cbd05680d

123430332429 has 12 divisors (see below), whose sum is σ = 179355854496. Its totient is φ = 81794151432.

The previous prime is 123430332391. The next prime is 123430332449. The reversal of 123430332429 is 924233034321.

123430332429 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 303 + 324 + 29 = 666.

It is not a de Polignac number, because 123430332429 - 28 = 123430332173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123430332393 and 123430332402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123430332449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41059819 + ... + 41062824.

It is an arithmetic number, because the mean of its divisors is an integer number (14946321208).

Almost surely, 2123430332429 is an apocalyptic number.

It is an amenable number.

123430332429 is a deficient number, since it is larger than the sum of its proper divisors (55925522067).

123430332429 is a wasteful number, since it uses less digits than its factorization.

123430332429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82122816 (or 82122813 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 123430332429 in words is "one hundred twenty-three billion, four hundred thirty million, three hundred thirty-two thousand, four hundred twenty-nine".

Divisors: 1 3 9 167 501 1503 82122643 246367929 739103787 13714481381 41143444143 123430332429