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103554400000 = 2855129443
BaseRepresentation
bin110000001110001010…
…0101011111100000000
3100220021212212120102011
41200130110223330000
53144034411300000
6115323334102304
710324113606502
oct1403424537400
9326255776364
10103554400000
113aa0a839467
12180a01aa994
1399c40150cc
14502513dd72
152a612e02ba
hex181c52bf00

103554400000 has 108 divisors (see below), whose sum is σ = 258365822904. Its totient is φ = 41421440000.

The previous prime is 103554399997. The next prime is 103554400013. The reversal of 103554400000 is 4455301.

It is a super-3 number, since 3×1035544000003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735279 + ... + 864721.

It is an arithmetic number, because the mean of its divisors is an integer number (2392276138).

Almost surely, 2103554400000 is an apocalyptic number.

103554400000 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 103554400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129182911452).

103554400000 is an abundant number, since it is smaller than the sum of its proper divisors (154811422904).

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

103554400000 is an frugal number, since it uses more digits than its factorization.

103554400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129484 (or 129450 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 103554400000 its reverse (4455301), we get a palindrome (103558855301).

The spelling of 103554400000 in words is "one hundred three billion, five hundred fifty-four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 20000 25000 32000 40000 50000 80000 100000 129443 160000 200000 258886 400000 517772 647215 800000 1035544 1294430 2071088 2588860 3236075 4142176 5177720 6472150 8284352 10355440 12944300 16180375 16568704 20710880 25888600 32360750 33137408 41421760 51777200 64721500 80901875 82843520 103554400 129443000 161803750 165687040 207108800 258886000 323607500 404509375 414217600 517772000 647215000 809018750 828435200 1035544000 1294430000 1618037500 2071088000 2588860000 3236075000 4142176000 5177720000 6472150000 10355440000 12944300000 20710880000 25888600000 51777200000 103554400000