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120103032 = 23377110069
BaseRepresentation
bin1110010100010…
…10000001111000
322100222212101110
413022022001320
5221221244112
615530120320
72655600420
oct712120170
9270885343
10120103032
1161882205
12342800a0
131bb61aaa
1411d45480
15a82613c
hex728a078

120103032 has 64 divisors (see below), whose sum is σ = 348019200. Its totient is φ = 33828480.

The previous prime is 120103013. The next prime is 120103037. The reversal of 120103032 is 230301021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120102999 and 120103017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120103037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6894 + ... + 16962.

It is an arithmetic number, because the mean of its divisors is an integer number (5437800).

Almost surely, 2120103032 is an apocalyptic number.

120103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174009600).

120103032 is an abundant number, since it is smaller than the sum of its proper divisors (227916168).

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

120103032 is a wasteful number, since it uses less digits than its factorization.

120103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120103032 is about 10959.1528869708. The cubic root of 120103032 is about 493.3835404628.

Adding to 120103032 its reverse (230301021), we get a palindrome (350404053).

The spelling of 120103032 in words is "one hundred twenty million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 10069 11928 20138 30207 40276 60414 70483 80552 120828 140966 211449 241656 281932 422898 563864 714899 845796 1429798 1691592 2144697 2859596 4289394 5004293 5719192 8578788 10008586 15012879 17157576 20017172 30025758 40034344 60051516 120103032