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10304122100 = 2252233442237
BaseRepresentation
bin10011001100010110…
…00110110011110100
3222121010000122012212
421212023012303310
5132100323401400
64422245032552
7513226410206
oct114613066364
928533018185
1010304122100
114408454498
121bb69b5758
13c829cc58c
146da6ca776
15404933335
hex2662c6cf4

10304122100 has 36 divisors (see below), whose sum is σ = 22455961164. Its totient is φ = 4103950080.

The previous prime is 10304122063. The next prime is 10304122133. The reversal of 10304122100 is 122140301.

10304122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1378785424 + 8925336676 = 37132^2 + 94474^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197819 + ... + 244418.

It is an arithmetic number, because the mean of its divisors is an integer number (623776699).

Almost surely, 210304122100 is an apocalyptic number.

10304122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304122100 is an abundant number, since it is smaller than the sum of its proper divisors (12151839064).

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

10304122100 is a wasteful number, since it uses less digits than its factorization.

10304122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442484 (or 442477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10304122100 its reverse (122140301), we get a palindrome (10426262401).

The spelling of 10304122100 in words is "ten billion, three hundred four million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 11650 23300 442237 884474 1768948 2211185 4422370 8844740 11055925 22111850 44223700 103041221 206082442 412164884 515206105 1030412210 2060824420 2576030525 5152061050 10304122100