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203230303120 = 24513509383917
BaseRepresentation
bin1011110101000101111…
…0000101001110010000
3201102120110200002022201
42331101132011032100
511312203424144440
6233210202412544
720453144034235
oct2752136051620
9642513602281
10203230303120
117920a2317a9
1233479501154
131621a63a940
149b9d11778c
155446d5b19a
hex2f51785390

203230303120 has 80 divisors (see below), whose sum is σ = 509858460720. Its totient is φ = 74891261952.

The previous prime is 203230303091. The next prime is 203230303207. The reversal of 203230303120 is 21303032302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36256729744 + 166973573376 = 190412^2 + 408624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2032303031202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337402 + ... + 721318.

It is an arithmetic number, because the mean of its divisors is an integer number (6373230759).

Almost surely, 2203230303120 is an apocalyptic number.

203230303120 is a gapful number since it is divisible by the number (20) 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 203230303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254929230360).

203230303120 is an abundant number, since it is smaller than the sum of its proper divisors (306628157600).

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

203230303120 is a wasteful number, since it uses less digits than its factorization.

203230303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384452 (or 384446 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 203230303120 its reverse (21303032302), we get a palindrome (224533335422).

The spelling of 203230303120 in words is "two hundred three billion, two hundred thirty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 509 520 1018 1040 2036 2545 4072 5090 6617 8144 10180 13234 20360 26468 33085 40720 52936 66170 105872 132340 264680 383917 529360 767834 1535668 1919585 3071336 3839170 4990921 6142672 7678340 9981842 15356680 19963684 24954605 30713360 39927368 49909210 79854736 99818420 195413753 199636840 390827506 399273680 781655012 977068765 1563310024 1954137530 2540378789 3126620048 3908275060 5080757578 7816550120 10161515156 12701893945 15633100240 20323030312 25403787890 40646060624 50807575780 101615151560 203230303120