Search a number
-
+
120323031300 = 223252133692257
BaseRepresentation
bin111000000001111001…
…1111100000100000100
3102111120112000022010200
41300003303330010010
53432410144000200
6131135312050500
711456500614423
oct1600363740404
9374515008120
10120323031300
114703523a33a
121b39bb33a30
13b4670ba254
145b761d32ba
1531e3513800
hex1c03cfc104

120323031300 has 54 divisors (see below), whose sum is σ = 377145859818. Its totient is φ = 32086141440.

The previous prime is 120323031293. The next prime is 120323031329. The reversal of 120323031300 is 3130323021.

120323031300 is a `hidden beast` number, since 12 + 0 + 323 + 0 + 31 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20219133636 + 100103897664 = 142194^2 + 316392^2 .

It is a super-2 number, since 2×1203230313002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66845229 + ... + 66847028.

Almost surely, 2120323031300 is an apocalyptic number.

120323031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120323031300 is an abundant number, since it is smaller than the sum of its proper divisors (256822828518).

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

120323031300 is a wasteful number, since it uses less digits than its factorization.

120323031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133692277 (or 133692267 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120323031300 its reverse (3130323021), we get a palindrome (123453354321).

The spelling of 120323031300 in words is "one hundred twenty billion, three hundred twenty-three million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 133692257 267384514 401076771 534769028 668461285 802153542 1203230313 1336922570 1604307084 2005383855 2406460626 2673845140 3342306425 4010767710 4812921252 6016151565 6684612850 8021535420 10026919275 12032303130 13369225700 20053838550 24064606260 30080757825 40107677100 60161515650 120323031300