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123013429 = 71119471789
BaseRepresentation
bin1110101010100…
…00100100110101
322120110201200221
413111100210311
5222442412204
620112334341
73022411510
oct725204465
9276421627
10123013429
116348a8a0
12352443b1
131c640716
14124a1d77
15abed654
hex7550935

123013429 has 32 divisors (see below), whose sum is σ = 164966400. Its totient is φ = 88827840.

The previous prime is 123013421. The next prime is 123013433. The reversal of 123013429 is 924310321.

It is a cyclic number.

It is not a de Polignac number, because 123013429 - 23 = 123013421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67867 + ... + 69655.

It is an arithmetic number, because the mean of its divisors is an integer number (5155200).

Almost surely, 2123013429 is an apocalyptic number.

123013429 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

123013429 is a deficient number, since it is larger than the sum of its proper divisors (41952971).

123013429 is a wasteful number, since it uses less digits than its factorization.

123013429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 123013429 is about 11091.1419159616. The cubic root of 123013429 is about 497.3370815751.

The spelling of 123013429 in words is "one hundred twenty-three million, thirteen thousand, four hundred twenty-nine".

Divisors: 1 7 11 19 47 77 133 209 329 517 893 1463 1789 3619 6251 9823 12523 19679 33991 68761 84083 137753 237937 373901 588581 924913 1597577 2617307 6474391 11183039 17573347 123013429