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120313020 = 223513115307
BaseRepresentation
bin1110010101111…
…01010010111100
322101101112102210
413022331102330
5221300004040
615534420420
72660433552
oct712752274
9271345383
10120313020
1161a05a53
1234361710
131bc06549
1411d9bbd2
15a868480
hex72bd4bc

120313020 has 48 divisors (see below), whose sum is σ = 339470208. Its totient is φ = 31836480.

The previous prime is 120313013. The next prime is 120313027. The reversal of 120313020 is 20313021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120313013) and next prime (120313027).

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 = 120312987 and 120313005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120313027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207 + ... + 15513.

It is an arithmetic number, because the mean of its divisors is an integer number (7072296).

Almost surely, 2120313020 is an apocalyptic number.

120313020 is a gapful number since it is divisible by the number (10) 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 120313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169735104).

120313020 is an abundant number, since it is smaller than the sum of its proper divisors (219157188).

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

120313020 is a wasteful number, since it uses less digits than its factorization.

120313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15450 (or 15448 counting only the distinct ones).

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

The square root of 120313020 is about 10968.7291880144. The cubic root of 120313020 is about 493.6709167791.

Adding to 120313020 its reverse (20313021), we get a palindrome (140626041).

Subtracting from 120313020 its reverse (20313021), we obtain a palindrome (99999999).

It can be divided in two parts, 12031 and 3020, that added together give a palindrome (15051).

The spelling of 120313020 in words is "one hundred twenty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 15307 30614 45921 61228 76535 91842 153070 183684 229605 306140 459210 918420 2005217 4010434 6015651 8020868 10026085 12031302 20052170 24062604 30078255 40104340 60156510 120313020