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103103463400 = 23527353208627
BaseRepresentation
bin110000000000101110…
…0011111111111101000
3100212010110100121200121
41200001130133333220
53142123441312100
6115210505013024
710306666656520
oct1400134377750
9325113317617
10103103463400
113a7a9243093
1217b95184174
13995177b012
144dc12ba680
152a3691951a
hex180171ffe8

103103463400 has 96 divisors (see below), whose sum is σ = 274738040640. Its totient is φ = 35249448960.

The previous prime is 103103463373. The next prime is 103103463413. The reversal of 103103463400 is 4364301301.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389887 + ... + 598513.

It is an arithmetic number, because the mean of its divisors is an integer number (2861854590).

Almost surely, 2103103463400 is an apocalyptic number.

103103463400 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 103103463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137369020320).

103103463400 is an abundant number, since it is smaller than the sum of its proper divisors (171634577240).

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

103103463400 is a wasteful number, since it uses less digits than its factorization.

103103463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209003 (or 208994 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 103103463400 its reverse (4364301301), we get a palindrome (107467764701).

The spelling of 103103463400 in words is "one hundred three billion, one hundred three million, four hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 353 700 706 1400 1412 1765 2471 2824 3530 4942 7060 8825 9884 12355 14120 17650 19768 24710 35300 49420 61775 70600 98840 123550 208627 247100 417254 494200 834508 1043135 1460389 1669016 2086270 2920778 4172540 5215675 5841556 7301945 8345080 10431350 11683112 14603890 20862700 29207780 36509725 41725400 58415560 73019450 73645331 146038900 147290662 292077800 294581324 368226655 515517317 589162648 736453310 1031034634 1472906620 1841133275 2062069268 2577586585 2945813240 3682266550 4124138536 5155173170 7364533100 10310346340 12887932925 14729066200 20620692680 25775865850 51551731700 103103463400