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120233100 = 223521330829
BaseRepresentation
bin1110010101010…
…01110010001100
322101020110210210
413022221302030
5221234424400
615533002420
72656651551
oct712516214
9271213723
10120233100
11619609a9
1234323410
131bba9060
1411d7aa28
15a84e950
hex72a9c8c

120233100 has 72 divisors (see below), whose sum is σ = 374646160. Its totient is φ = 29594880.

The previous prime is 120233093. The next prime is 120233107. The reversal of 120233100 is 1332021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120233093) and next prime (120233107).

It is a super-2 number, since 2×1202331002 = 28911996671220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120233107) 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, 11515 + ... + 19314.

Almost surely, 2120233100 is an apocalyptic number.

120233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120233100 is an abundant number, since it is smaller than the sum of its proper divisors (254413060).

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

120233100 is a wasteful number, since it uses less digits than its factorization.

120233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30859 (or 30852 counting only the distinct ones).

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

The square root of 120233100 is about 10965.0854989827. The cubic root of 120233100 is about 493.5615827576.

Adding to 120233100 its reverse (1332021), we get a palindrome (121565121).

The spelling of 120233100 in words is "one hundred twenty million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 30829 61658 92487 123316 154145 184974 308290 369948 400777 462435 616580 770725 801554 924870 1202331 1541450 1603108 1849740 2003885 2312175 2404662 3082900 4007770 4624350 4809324 6011655 8015540 9248700 10019425 12023310 20038850 24046620 30058275 40077700 60116550 120233100