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103430616200 = 2352227412
BaseRepresentation
bin110000001010011110…
…0011111010010001000
3100212222020221200221222
41200110330133102020
53143311214204300
6115303153021212
710321051506002
oct1402474372210
9325866850858
10103430616200
113a9569828aa
1218066854808
1399a4494b62
14501291b372
152a554dd785
hex1814f1f488

103430616200 has 36 divisors (see below), whose sum is σ = 240486757695. Its totient is φ = 41370427200.

The previous prime is 103430616173. The next prime is 103430616203. The reversal of 103430616200 is 2616034301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2305344196 + 101125272004 = 48014^2 + 318002^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=227410.

It is a self number, because there is not a number n which added to its sum of digits gives 103430616200.

It is not an unprimeable number, because it can be changed into a prime (103430616203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4536830 + ... + 4559570.

Almost surely, 2103430616200 is an apocalyptic number.

103430616200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103430616200 is an abundant number, since it is smaller than the sum of its proper divisors (137056141495).

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

103430616200 is an frugal number, since it uses more digits than its factorization.

103430616200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45498 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Multiplying 103430616200 by its product of nonzero digits (2592), we get a square (268092157190400 = 163735202).

The spelling of 103430616200 in words is "one hundred three billion, four hundred thirty million, six hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 22741 45482 90964 113705 181928 227410 454820 568525 909640 1137050 2274100 4548200 517153081 1034306162 2068612324 2585765405 4137224648 5171530810 10343061620 12928827025 20686123240 25857654050 51715308100 103430616200