Search a number
-
+
1025123450100 = 2235222573151379
BaseRepresentation
bin11101110101011100001…
…11100111110011110100
310122000000121121220222220
432322232013213303310
5113243423100400400
62102534001122340
7134030341361151
oct16725607476364
93560017556886
101025123450100
1136583050a8a2
121468139293b0
1375890266449
143788ad67228
151b9ec1c17a0
hexeeae1e7cf4

1025123450100 has 72 divisors (see below), whose sum is σ = 2966174840160. Its totient is φ = 273352337280.

The previous prime is 1025123450093. The next prime is 1025123450203. The reversal of 1025123450100 is 10543215201.

It is a happy number.

It is a congruent number.

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, 6696211 + ... + 6847589.

It is an arithmetic number, because the mean of its divisors is an integer number (41196872780).

Almost surely, 21025123450100 is an apocalyptic number.

1025123450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025123450100 is an abundant number, since it is smaller than the sum of its proper divisors (1941051390060).

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

1025123450100 is a wasteful number, since it uses less digits than its factorization.

1025123450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173969 (or 173962 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1025123450100 its reverse (10543215201), we get a palindrome (1035666665301).

The spelling of 1025123450100 in words is "one trillion, twenty-five billion, one hundred twenty-three million, four hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 22573 45146 67719 90292 112865 135438 151379 225730 270876 302758 338595 451460 454137 564325 605516 677190 756895 908274 1128650 1354380 1513790 1692975 1816548 2257300 2270685 3027580 3385950 3784475 4541370 6771900 7568950 9082740 11353425 15137900 22706850 45413700 3417078167 6834156334 10251234501 13668312668 17085390835 20502469002 34170781670 41004938004 51256172505 68341563340 85426954175 102512345010 170853908350 205024690020 256280862525 341707816700 512561725050 1025123450100