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230020032132 = 2232115009115963
BaseRepresentation
bin1101011000111001000…
…0110010011010000100
3210222201111021022210100
43112032100302122010
512232040112012012
6253400355324100
722422053004402
oct3261620623204
9728644238710
10230020032132
1189607347710
12386b52b0630
13188c98a91b7
14b1c1062472
155eb3c088dc
hex358e432684

230020032132 has 72 divisors (see below), whose sum is σ = 634429766880. Its totient is φ = 69688523520.

The previous prime is 230020032113. The next prime is 230020032217. The reversal of 230020032132 is 231230020032.

It is a happy number.

230020032132 is a `hidden beast` number, since 2 + 300 + 200 + 32 + 132 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1925583 + ... + 2041545.

It is an arithmetic number, because the mean of its divisors is an integer number (8811524540).

Almost surely, 2230020032132 is an apocalyptic number.

230020032132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230020032132 is an abundant number, since it is smaller than the sum of its proper divisors (404409734748).

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

230020032132 is a wasteful number, since it uses less digits than its factorization.

230020032132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120993 (or 120988 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230020032132 its reverse (231230020032), we get a palindrome (461250052164).

It can be divided in two parts, 2300200 and 32132, that added together give a palindrome (2332332).

The spelling of 230020032132 in words is "two hundred thirty billion, twenty million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5009 10018 15027 20036 30054 45081 55099 60108 90162 110198 115963 165297 180324 220396 231926 330594 347889 463852 495891 661188 695778 991782 1043667 1275593 1391556 1983564 2087334 2551186 3826779 4174668 5102372 7653558 11480337 15307116 22960674 45921348 580858667 1161717334 1742576001 2323434668 3485152002 5227728003 6389445337 6970304004 10455456006 12778890674 19168336011 20910912012 25557781348 38336672022 57505008033 76673344044 115010016066 230020032132