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103411551400 = 23524315437793
BaseRepresentation
bin110000001001111001…
…1110000110010101000
3100212220221002002222021
41200103303300302220
53143241324121100
6115301232234224
710320430453333
oct1402363606250
9325827062867
10103411551400
113a947141173
121806039b974
1399a054b301
14501019761a
152a539c4a1a
hex1813cf0ca8

103411551400 has 96 divisors (see below), whose sum is σ = 246214330560. Its totient is φ = 40371287040.

The previous prime is 103411551367. The next prime is 103411551409. The reversal of 103411551400 is 4155114301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (103411551409) 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, 13265904 + ... + 13273696.

It is an arithmetic number, because the mean of its divisors is an integer number (2564732610).

Almost surely, 2103411551400 is an apocalyptic number.

103411551400 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 103411551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123107165280).

103411551400 is an abundant number, since it is smaller than the sum of its proper divisors (142802779160).

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

103411551400 is a wasteful number, since it uses less digits than its factorization.

103411551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 103411551400 its reverse (4155114301), we get a palindrome (107566665701).

The spelling of 103411551400 in words is "one hundred three billion, four hundred eleven million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1543 1720 2150 3086 4300 6172 7715 7793 8600 12344 15430 15586 30860 31172 38575 38965 61720 62344 66349 77150 77930 132698 154300 155860 194825 265396 308600 311720 331745 335099 389650 530792 663490 670198 779300 1326980 1340396 1558600 1658725 1675495 2653960 2680792 3317450 3350990 6634900 6701980 8377475 12024599 13269800 13403960 16754950 24049198 33509900 48098396 60122995 67019800 96196792 120245990 240491980 300614975 480983960 517057757 601229950 1034115514 1202459900 2068231028 2404919800 2585288785 4136462056 5170577570 10341155140 12926443925 20682310280 25852887850 51705775700 103411551400