Search a number
-
+
1230232120 = 23513313999
BaseRepresentation
bin100100101010011…
…1101101000111000
310011201220021012121
41021110331220320
510004414411440
6322024051024
742325541365
oct11124755070
93151807177
101230232120
11581485667
122a4003a74
13167b4b000
14b955d46c
157300d34a
hex4953da38

1230232120 has 64 divisors (see below), whose sum is σ = 2998800000. Its totient is φ = 454207104.

The previous prime is 1230232111. The next prime is 1230232127. The reversal of 1230232120 is 212320321.

It is a junction number, because it is equal to n+sod(n) for n = 1230232094 and 1230232103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230232127) 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, 80881 + ... + 94879.

It is an arithmetic number, because the mean of its divisors is an integer number (46856250).

Almost surely, 21230232120 is an apocalyptic number.

1230232120 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 1230232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499400000).

1230232120 is an abundant number, since it is smaller than the sum of its proper divisors (1768567880).

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

1230232120 is a wasteful number, since it uses less digits than its factorization.

1230232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14049 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1230232120 is about 35074.6649306875. The cubic root of 1230232120 is about 1071.5086646242.

Adding to 1230232120 its reverse (212320321), we get a palindrome (1442552441).

The spelling of 1230232120 in words is "one billion, two hundred thirty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 2197 3380 4394 6760 8788 10985 13999 17576 21970 27998 43940 55996 69995 87880 111992 139990 181987 279980 363974 559960 727948 909935 1455896 1819870 2365831 3639740 4731662 7279480 9463324 11829155 18926648 23658310 30755803 47316620 61511606 94633240 123023212 153779015 246046424 307558030 615116060 1230232120