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10230400404 = 2232752737699
BaseRepresentation
bin10011000011100011…
…11000010110010100
3222101222022012001200
421201301320112110
5131422440303104
64411052552500
7511342653150
oct114161702624
928358265050
1010230400404
11437a881274
121b96182730
13c70659a83
146d09ba060
153ed21eb39
hex261c78594

10230400404 has 72 divisors (see below), whose sum is σ = 29563934400. Its totient is φ = 2922037632.

The previous prime is 10230400387. The next prime is 10230400423. The reversal of 10230400404 is 40400403201.

It is a super-2 number, since 2×102304004042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 1324947 + ... + 1332645.

It is an arithmetic number, because the mean of its divisors is an integer number (410610200).

Almost surely, 210230400404 is an apocalyptic number.

10230400404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10230400404 is an abundant number, since it is smaller than the sum of its proper divisors (19333533996).

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

10230400404 is a wasteful number, since it uses less digits than its factorization.

10230400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989 (or 12984 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10230400404 its reverse (40400403201), we get a palindrome (50630803605).

The spelling of 10230400404 in words is "ten billion, two hundred thirty million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 5273 7699 10546 15398 15819 21092 23097 30796 31638 36911 46194 47457 53893 63276 69291 73822 92388 94914 107786 110733 138582 147644 161679 189828 215572 221466 277164 323358 332199 442932 485037 646716 664398 970074 1328796 1940148 40596827 81193654 121790481 162387308 243580962 284177789 365371443 487161924 568355578 730742886 852533367 1136711156 1461485772 1705066734 2557600101 3410133468 5115200202 10230400404