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103044336200 = 23521327014349
BaseRepresentation
bin101111111110111101…
…0111100101001001000
3100211222100002122102022
41133331322330221020
53142013322224300
6115200553424012
710305351256151
oct1377572745110
9324870078368
10103044336200
113a778928a33
1217b7940b008
139942448400
144db74c8928
152a3163a285
hex17fdebca48

103044336200 has 144 divisors (see below), whose sum is σ = 259854601500. Its totient is φ = 37984128000.

The previous prime is 103044336179. The next prime is 103044336229. The reversal of 103044336200 is 2633440301.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 37478636836 + 65565699364 = 193594^2 + 256058^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 103044336200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23691626 + ... + 23695974.

Almost surely, 2103044336200 is an apocalyptic number.

103044336200 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 103044336200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129927300750).

103044336200 is an abundant number, since it is smaller than the sum of its proper divisors (156810265300).

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

103044336200 is a wasteful number, since it uses less digits than its factorization.

103044336200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 103044336200 its reverse (2633440301), we get a palindrome (105677776501).

The spelling of 103044336200 in words is "one hundred three billion, forty-four million, three hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 701 845 1300 1352 1402 1690 2600 2804 3380 3505 4225 4349 5608 6760 7010 8450 8698 9113 14020 16900 17396 17525 18226 21745 28040 33800 34792 35050 36452 43490 45565 56537 70100 72904 86980 91130 108725 113074 118469 140200 173960 182260 217450 226148 227825 236938 282685 364520 434900 452296 455650 473876 565370 592345 734981 869800 911300 947752 1130740 1184690 1413425 1469962 1822600 2261480 2369380 2826850 2939924 2961725 3048649 3674905 4738760 5653700 5879848 5923450 6097298 7349810 11307400 11846900 12194596 14699620 15243245 18374525 23693800 24389192 29399240 30486490 36749050 39632437 60972980 73498100 76216225 79264874 121945960 146996200 152432450 158529748 198162185 304864900 317059496 396324370 515221681 609729800 792648740 990810925 1030443362 1585297480 1981621850 2060886724 2576108405 3963243700 4121773448 5152216810 7926487400 10304433620 12880542025 20608867240 25761084050 51522168100 103044336200