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103122032 = 24133591381
BaseRepresentation
bin1100010010110…
…00010001110000
321012001010211112
412021120101300
5202344401112
614122132452
72361344216
oct611302160
9235033745
10103122032
1153234122
122a651128
1318497870
14d9a4cb6
1590bea22
hex6258470

103122032 has 40 divisors (see below), whose sum is σ = 215923680. Its totient is φ = 47427840.

The previous prime is 103122031. The next prime is 103122049. The reversal of 103122032 is 230221301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103121998 and 103122016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73982 + ... + 75362.

It is an arithmetic number, because the mean of its divisors is an integer number (5398092).

Almost surely, 2103122032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107961840).

103122032 is an abundant number, since it is smaller than the sum of its proper divisors (112801648).

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

103122032 is a wasteful number, since it uses less digits than its factorization.

103122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103122032 is about 10154.9018705254. The cubic root of 103122032 is about 468.9398649642.

Adding to 103122032 its reverse (230221301), we get a palindrome (333343333).

The spelling of 103122032 in words is "one hundred three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 359 718 1381 1436 2762 2872 4667 5524 5744 9334 11048 17953 18668 22096 35906 37336 71812 74672 143624 287248 495779 991558 1983116 3966232 6445127 7932464 12890254 25780508 51561016 103122032