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10340144200 = 235255739277
BaseRepresentation
bin10011010000101001…
…00001010001001000
3222200121210202020201
421220110201101020
5132134034103300
64430013101544
7514144530001
oct115024412110
928617722221
1010340144200
114426818421
122006a878b4
13c8a302629
147013c61a8
15407b9b66a
hex268521448

10340144200 has 48 divisors (see below), whose sum is σ = 24047740980. Its totient is φ = 4134869760.

The previous prime is 10340144197. The next prime is 10340144207. The reversal of 10340144200 is 244104301.

It can be written as a sum of positive squares in 6 ways, for example, as 2625332644 + 7714811556 = 51238^2 + 87834^2 .

It is not an unprimeable number, because it can be changed into a prime (10340144207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1109962 + ... + 1119238.

Almost surely, 210340144200 is an apocalyptic number.

10340144200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340144200 is an abundant number, since it is smaller than the sum of its proper divisors (13707596780).

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

10340144200 is a wasteful number, since it uses less digits than its factorization.

10340144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14866 (or 14857 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10340144200 its reverse (244104301), we get a palindrome (10584248501).

The spelling of 10340144200 in words is "ten billion, three hundred forty million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5573 9277 11146 18554 22292 27865 37108 44584 46385 55730 74216 92770 111460 139325 185540 222920 231925 278650 371080 463850 557300 927700 1114600 1855400 51700721 103401442 206802884 258503605 413605768 517007210 1034014420 1292518025 2068028840 2585036050 5170072100 10340144200