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123032106 = 232192315641
BaseRepresentation
bin1110101010101…
…01001000101010
322120111200022200
413111111020222
5222444011411
620113001030
73022520121
oct725251052
9276450280
10123032106
11634a292a
1235253176
131c649082
14124a8ab8
15ac03e56
hex755522a

123032106 has 48 divisors (see below), whose sum is σ = 292818240. Its totient is φ = 37160640.

The previous prime is 123032101. The next prime is 123032153. The reversal of 123032106 is 601230321.

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

It is not an unprimeable number, because it can be changed into a prime (123032101) 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 23 ways as a sum of consecutive naturals, for example, 46 + ... + 15686.

It is an arithmetic number, because the mean of its divisors is an integer number (6100380).

Almost surely, 2123032106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123032106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146409120).

123032106 is an abundant number, since it is smaller than the sum of its proper divisors (169786134).

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

123032106 is a wasteful number, since it uses less digits than its factorization.

123032106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123032106 is about 11091.9838622313. The cubic root of 123032106 is about 497.3622503573.

Adding to 123032106 its reverse (601230321), we get a palindrome (724262427).

The spelling of 123032106 in words is "one hundred twenty-three million, thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2622 3933 7866 15641 31282 46923 93846 140769 281538 297179 359743 594358 719486 891537 1079229 1783074 2158458 2674611 3237687 5349222 6475374 6835117 13670234 20505351 41010702 61516053 123032106