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10104254200 = 2352232817817
BaseRepresentation
bin10010110100100001…
…01010111011111000
3222002011221022000001
421122100222323320
5131143142113300
64350345122344
7505251513025
oct113220527370
928064838001
1010104254200
114315651807
121b5ba893b4
13c50490451
146bbd4054c
153e210316a
hex25a42aef8

10104254200 has 96 divisors (see below), whose sum is σ = 24604184160. Its totient is φ = 3851724800.

The previous prime is 10104254189. The next prime is 10104254219. The reversal of 10104254200 is 245240101.

10104254200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288692 + ... + 1296508.

It is an arithmetic number, because the mean of its divisors is an integer number (256293585).

Almost surely, 210104254200 is an apocalyptic number.

10104254200 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 10104254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302092080).

10104254200 is an abundant number, since it is smaller than the sum of its proper divisors (14499929960).

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

10104254200 is a wasteful number, since it uses less digits than its factorization.

10104254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10104254200 its reverse (245240101), we get a palindrome (10349494301).

The spelling of 10104254200 in words is "ten billion, one hundred four million, two hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 281 460 562 575 920 1124 1150 1405 2248 2300 2810 4600 5620 6463 7025 7817 11240 12926 14050 15634 25852 28100 31268 32315 39085 51704 56200 62536 64630 78170 129260 156340 161575 179791 195425 258520 312680 323150 359582 390850 646300 719164 781700 898955 1292600 1438328 1563400 1797910 2196577 3595820 4393154 4494775 7191640 8786308 8989550 10982885 17572616 17979100 21965770 35958200 43931540 50521271 54914425 87863080 101042542 109828850 202085084 219657700 252606355 404170168 439315400 505212710 1010425420 1263031775 2020850840 2526063550 5052127100 10104254200