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10012030400421 = 327295801236981
BaseRepresentation
bin1001000110110001101110…
…0000111111011110100101
31022110010210121112220201100
42101230123200333132211
52303014114240303141
633143244022150313
72052226306145100
oct221543340773645
938403717486640
1010012030400421
113210095169a05
121158494882399
135781906a535a
14268828bc1737
151256811bb0b6
hex91b1b83f7a5

10012030400421 has 36 divisors (see below), whose sum is σ = 16823182026924. Its totient is φ = 5721076368000.

The previous prime is 10012030400401. The next prime is 10012030400431. The reversal of 10012030400421 is 12400403021001.

10012030400421 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 203 + 0 + 40 + 0 + 421 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3872587116321 + 6139443284100 = 1967889^2 + 2477790^2 .

It is not a de Polignac number, because 10012030400421 - 25 = 10012030400389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012030400394 and 10012030400403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012030400401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42129751 + ... + 42366731.

It is an arithmetic number, because the mean of its divisors is an integer number (467310611859).

Almost surely, 210012030400421 is an apocalyptic number.

It is an amenable number.

10012030400421 is a deficient number, since it is larger than the sum of its proper divisors (6811151626503).

10012030400421 is a wasteful number, since it uses less digits than its factorization.

10012030400421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332802 (or 332792 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10012030400421 its reverse (12400403021001), we get a palindrome (22412433421422).

The spelling of 10012030400421 in words is "ten trillion, twelve billion, thirty million, four hundred thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 95801 236981 287403 670607 710943 862209 1658867 2011821 2132829 4694249 4976601 6035463 11612069 14082747 14929803 34836207 42248241 104508621 22703016781 68109050343 158921117467 204327151029 476763352401 1112447822269 1430290057203 3337343466807 10012030400421