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103503111400 = 235213174722787
BaseRepresentation
bin110000001100101000…
…1000010010011101000
3100220011022100211200101
41200121101002103220
53143433244031100
6115314302515144
710322621634163
oct1403121022350
9326138324611
10103503111400
113a993898597
1218086b95ab4
1399b64c8320
14501c3ccada
152a5ba5d86a
hex18194424e8

103503111400 has 96 divisors (see below), whose sum is σ = 259315590240. Its totient is φ = 38192981760.

The previous prime is 103503111377. The next prime is 103503111433. The reversal of 103503111400 is 4111305301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4530807 + ... + 4553593.

It is an arithmetic number, because the mean of its divisors is an integer number (2701204065).

Almost surely, 2103503111400 is an apocalyptic number.

103503111400 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 103503111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129657795120).

103503111400 is an abundant number, since it is smaller than the sum of its proper divisors (155812478840).

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

103503111400 is a wasteful number, since it uses less digits than its factorization.

103503111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24563 (or 24554 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 103503111400 its reverse (4111305301), we get a palindrome (107614416701).

The spelling of 103503111400 in words is "one hundred three billion, five hundred three million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1747 2600 3494 6988 8735 13976 17470 22711 22787 34940 43675 45422 45574 69880 87350 90844 91148 113555 113935 174700 181688 182296 227110 227870 296231 349400 454220 455740 567775 569675 592462 908440 911480 1135550 1139350 1184924 1481155 2271100 2278700 2369848 2962310 4542200 4557400 5924620 7405775 11849240 14811550 29623100 39808889 59246200 79617778 159235556 199044445 318471112 398088890 517515557 796177780 995222225 1035031114 1592355560 1990444450 2070062228 2587577785 3980888900 4140124456 5175155570 7961777800 10350311140 12937888925 20700622280 25875777850 51751555700 103503111400