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232110113020 = 22517261658319
BaseRepresentation
bin1101100000101011010…
…1110100000011111100
3211012010011010102202121
43120022311310003330
512300330142104040
6254344021132324
722524622256602
oct3301265640374
9735104112677
10232110113020
118a48a120395
1238b9925a0a4
1318b70903256
14b33c889872
156087461c4a
hex360ad740fc

232110113020 has 72 divisors (see below), whose sum is σ = 526279440960. Its totient is φ = 85949998080.

The previous prime is 232110112981. The next prime is 232110113023. The reversal of 232110113020 is 20311011232.

232110113020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232110112985 and 232110113003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232110113023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23421 + ... + 681739.

It is an arithmetic number, because the mean of its divisors is an integer number (7309436680).

Almost surely, 2232110113020 is an apocalyptic number.

232110113020 is a gapful number since it is divisible by the number (20) 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 232110113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263139720480).

232110113020 is an abundant number, since it is smaller than the sum of its proper divisors (294169327940).

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

232110113020 is a wasteful number, since it uses less digits than its factorization.

232110113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658423 (or 658404 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 232110113020 its reverse (20311011232), we get a palindrome (252421124252).

The spelling of 232110113020 in words is "two hundred thirty-two billion, one hundred ten million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 289 305 340 578 610 1037 1156 1220 1445 2074 2890 4148 5185 5780 10370 17629 20740 35258 70516 88145 176290 352580 658319 1316638 2633276 3291595 6583190 11191423 13166380 22382846 40157459 44765692 55957115 80314918 111914230 160629836 190254191 200787295 223828460 380508382 401574590 682676803 761016764 803149180 951270955 1365353606 1902541910 2730707212 3413384015 3805083820 6826768030 11605505651 13653536060 23211011302 46422022604 58027528255 116055056510 232110113020