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123014142 = 23217439349
BaseRepresentation
bin1110101010100…
…00101111111110
322120110202200100
413111100233332
5222442423032
620112341530
73022413546
oct725205776
9276422610
10123014142
1163490389
12352448a6
131c640b44
14124a2326
15abed97c
hex7550bfe

123014142 has 48 divisors (see below), whose sum is σ = 288802800. Its totient is φ = 37691136.

The previous prime is 123014131. The next prime is 123014149. The reversal of 123014142 is 241410321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123014149) 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 23 ways as a sum of consecutive naturals, for example, 8484 + ... + 17832.

It is an arithmetic number, because the mean of its divisors is an integer number (6016725).

Almost surely, 2123014142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123014142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144401400).

123014142 is an abundant number, since it is smaller than the sum of its proper divisors (165788658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123014142 is a wasteful number, since it uses less digits than its factorization.

123014142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123014142 is about 11091.1740586829. The cubic root of 123014142 is about 497.3380424476.

Adding to 123014142 its reverse (241410321), we get a palindrome (364424463).

The spelling of 123014142 in words is "one hundred twenty-three million, fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 6579 9349 13158 18698 28047 56094 84141 158933 168282 317866 402007 476799 804014 953598 1206021 1430397 2412042 2860794 3618063 6834119 7236126 13668238 20502357 41004714 61507071 123014142