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10043010400 = 2552108711549
BaseRepresentation
bin10010101101001110…
…00010110101100000
3221220220200210022011
421112213002311200
5131032002313100
64340320322304
7503606115463
oct112647026540
927826623264
1010043010400
1142940213a5
121b43473394
13c40899307
146b3b5b2da
153dba56bba
hex2569c2d60

10043010400 has 72 divisors (see below), whose sum is σ = 24542179200. Its totient is φ = 4013160960.

The previous prime is 10043010379. The next prime is 10043010401. The reversal of 10043010400 is 401034001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043010401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863826 + ... + 875374.

It is an arithmetic number, because the mean of its divisors is an integer number (340863600).

Almost surely, 210043010400 is an apocalyptic number.

10043010400 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 10043010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271089600).

10043010400 is an abundant number, since it is smaller than the sum of its proper divisors (14499168800).

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

10043010400 is a wasteful number, since it uses less digits than its factorization.

10043010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10043010400 its reverse (401034001), we get a palindrome (10444044401).

The spelling of 10043010400 in words is "ten billion, forty-three million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1087 2174 4348 5435 8696 10870 11549 17392 21740 23098 27175 34784 43480 46196 54350 57745 86960 92392 108700 115490 173920 184784 217400 230980 288725 369568 434800 461960 577450 869600 923920 1154900 1847840 2309800 4619600 9239200 12553763 25107526 50215052 62768815 100430104 125537630 200860208 251075260 313844075 401720416 502150520 627688150 1004301040 1255376300 2008602080 2510752600 5021505200 10043010400