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1230320031100 = 2252127281344753
BaseRepresentation
bin10001111001110100110…
…010011101010101111100
311100121200010012021111021
4101321310302131111330
5130124143411443400
62341111244033524
7154613322500116
oct21716462352574
94317603167437
101230320031100
11434859646236
1217a53b8328a4
138c032072204
144379527c3b6
152200b97d71a
hex11e74c9d57c

1230320031100 has 72 divisors (see below), whose sum is σ = 2700400163328. Its totient is φ = 486514022400.

The previous prime is 1230320031043. The next prime is 1230320031107. The reversal of 1230320031100 is 11300230321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230320031107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396324 + ... + 3741076.

It is an arithmetic number, because the mean of its divisors is an integer number (37505557824).

Almost surely, 21230320031100 is an apocalyptic number.

1230320031100 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 1230320031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350200081664).

1230320031100 is an abundant number, since it is smaller than the sum of its proper divisors (1470080132228).

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

1230320031100 is a wasteful number, since it uses less digits than its factorization.

1230320031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345175 (or 345168 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1230320031100 its reverse (11300230321), we get a palindrome (1241620261421).

The spelling of 1230320031100 in words is "one trillion, two hundred thirty billion, three hundred twenty million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 281 508 562 635 1124 1270 1405 2540 2810 3175 5620 6350 7025 12700 14050 28100 35687 71374 142748 178435 344753 356870 689506 713740 892175 1379012 1723765 1784350 3447530 3568700 6895060 8618825 17237650 34475300 43783631 87567262 96875593 175134524 193751186 218918155 387502372 437836310 484377965 875672620 968755930 1094590775 1937511860 2189181550 2421889825 4378363100 4843779650 9687559300 12303200311 24606400622 49212801244 61516001555 123032003110 246064006220 307580007775 615160015550 1230320031100