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120233130 = 235291131223
BaseRepresentation
bin1110010101010…
…01110010101010
322101020110211220
413022221302222
5221234430010
615533002510
72656651623
oct712516252
9271213756
10120233130
1161960a26
1234323436
131bba9084
1411d7aa4a
15a84e970
hex72a9caa

120233130 has 64 divisors (see below), whose sum is σ = 301397760. Its totient is φ = 30657536.

The previous prime is 120233123. The next prime is 120233137. The reversal of 120233130 is 31332021.

It is an interprime number because it is at equal distance from previous prime (120233123) and next prime (120233137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120233137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97699 + ... + 98921.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2120233130 is an apocalyptic number.

120233130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

120233130 is an abundant number, since it is smaller than the sum of its proper divisors (181164630).

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

120233130 is a wasteful number, since it uses less digits than its factorization.

120233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 120233130 is about 10965.0868669610. The cubic root of 120233130 is about 493.5616238080.

Adding to 120233130 its reverse (31332021), we get a palindrome (151565151).

The spelling of 120233130 in words is "one hundred twenty million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 113 145 174 226 290 339 435 565 678 870 1130 1223 1695 2446 3277 3390 3669 6115 6554 7338 9831 12230 16385 18345 19662 32770 35467 36690 49155 70934 98310 106401 138199 177335 212802 276398 354670 414597 532005 690995 829194 1064010 1381990 2072985 4007771 4145970 8015542 12023313 20038855 24046626 40077710 60116565 120233130