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10244103400 = 23522310920431
BaseRepresentation
bin10011000101001100…
…01001110011101000
3222102221002101001001
421202212021303220
5131434442302100
64412302404344
7511600304446
oct114246116350
928387071031
1010244103400
114387590563
121b9a8906b4
13c73446c5b
146d2745b96
153ee529d6a
hex262989ce8

10244103400 has 96 divisors (see below), whose sum is σ = 25082323200. Its totient is φ = 3883334400.

The previous prime is 10244103371. The next prime is 10244103407. The reversal of 10244103400 is 430144201.

It is not an unprimeable number, because it can be changed into a prime (10244103407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491185 + ... + 511615.

It is an arithmetic number, because the mean of its divisors is an integer number (261274200).

Almost surely, 210244103400 is an apocalyptic number.

10244103400 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 10244103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541161600).

10244103400 is an abundant number, since it is smaller than the sum of its proper divisors (14838219800).

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

10244103400 is a wasteful number, since it uses less digits than its factorization.

10244103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20579 (or 20570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10244103400 its reverse (430144201), we get a palindrome (10674247601).

The spelling of 10244103400 in words is "ten billion, two hundred forty-four million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 109 115 184 200 218 230 436 460 545 575 872 920 1090 1150 2180 2300 2507 2725 4360 4600 5014 5450 10028 10900 12535 20056 20431 21800 25070 40862 50140 62675 81724 100280 102155 125350 163448 204310 250700 408620 469913 501400 510775 817240 939826 1021550 1879652 2043100 2226979 2349565 3759304 4086200 4453958 4699130 8907916 9398260 11134895 11747825 17815832 18796520 22269790 23495650 44539580 46991300 51220517 55674475 89079160 93982600 102441034 111348950 204882068 222697900 256102585 409764136 445395800 512205170 1024410340 1280512925 2048820680 2561025850 5122051700 10244103400