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10303140420 = 22325241237509
BaseRepresentation
bin10011001100001110…
…10111001001000100
3222121001011202121100
421212013113021010
5132100100443140
64422212020100
7513215151156
oct114607271104
928531152540
1010303140420
114407943991
121bb6601630
13c827477c1
146da512ad6
154047dc530
hex2661d7244

10303140420 has 72 divisors (see below), whose sum is σ = 31382671320. Its totient is φ = 2736092160.

The previous prime is 10303140409. The next prime is 10303140433. The reversal of 10303140420 is 2404130301.

10303140420 is a `hidden beast` number, since 103 + 0 + 3 + 140 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3777085764 + 6526054656 = 61458^2 + 80784^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10303140393 and 10303140402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75375 + ... + 162134.

It is an arithmetic number, because the mean of its divisors is an integer number (435870435).

Almost surely, 210303140420 is an apocalyptic number.

10303140420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303140420 is an abundant number, since it is smaller than the sum of its proper divisors (21079530900).

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

10303140420 is a wasteful number, since it uses less digits than its factorization.

10303140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237765 (or 237760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10303140420 its reverse (2404130301), we get a palindrome (12707270721).

The spelling of 10303140420 in words is "ten billion, three hundred three million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 43380 237509 475018 712527 950036 1187545 1425054 2137581 2375090 2850108 3562635 4275162 4750180 7125270 8550324 10687905 14250540 21375810 42751620 57239669 114479338 171719007 228958676 286198345 343438014 515157021 572396690 686876028 858595035 1030314042 1144793380 1717190070 2060628084 2575785105 3434380140 5151570210 10303140420