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10324411400 = 2352419123203
BaseRepresentation
bin10011001110110001…
…00000010000001000
3222122112012102220102
421213120200100020
5132121022131100
64424251544532
7513564022532
oct114730402010
928575172812
1010324411400
114418952106
12200175b148
13c86c84594
146dd28c852
154065decd5
hex267620408

10324411400 has 48 divisors (see below), whose sum is σ = 24061741200. Its totient is φ = 4119874880.

The previous prime is 10324411343. The next prime is 10324411403. The reversal of 10324411400 is 411442301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10324411403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22199 + ... + 145401.

It is an arithmetic number, because the mean of its divisors is an integer number (501286275).

Almost surely, 210324411400 is an apocalyptic number.

10324411400 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 10324411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030870600).

10324411400 is an abundant number, since it is smaller than the sum of its proper divisors (13737329800).

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

10324411400 is a wasteful number, since it uses less digits than its factorization.

10324411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123638 (or 123629 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10324411400 its reverse (411442301), we get a palindrome (10735853701).

The spelling of 10324411400 in words is "ten billion, three hundred twenty-four million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 419 838 1676 2095 3352 4190 8380 10475 16760 20950 41900 83800 123203 246406 492812 616015 985624 1232030 2464060 3080075 4928120 6160150 12320300 24640600 51622057 103244114 206488228 258110285 412976456 516220570 1032441140 1290551425 2064882280 2581102850 5162205700 10324411400