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1004412421130 = 254140110975569
BaseRepresentation
bin11101001110110111010…
…01010100010000001010
310120000120020011122100212
432213123221110100022
5112424014034434010
62045230512001122
7132365163466406
oct16473351242012
93500506148325
101004412421130
11357a72699228
121427b38301a2
137393c48a411
1436884476106
151b1d8d05505
hexe9dba5440a

1004412421130 has 64 divisors (see below), whose sum is σ = 1858683244320. Its totient is φ = 390561792000.

The previous prime is 1004412421109. The next prime is 1004412421139. The reversal of 1004412421130 is 311242144001.

It can be written as a sum of positive squares in 16 ways, for example, as 9611645521 + 994800775609 = 98039^2 + 997397^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004412421096 and 1004412421105.

It is not an unprimeable number, because it can be changed into a prime (1004412421139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180354986 + ... + 180360554.

Almost surely, 21004412421130 is an apocalyptic number.

1004412421130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004412421130 is a deficient number, since it is larger than the sum of its proper divisors (854270823190).

1004412421130 is a wasteful number, since it uses less digits than its factorization.

1004412421130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1004412421130 its reverse (311242144001), we get a palindrome (1315654565131).

The spelling of 1004412421130 in words is "one trillion, four billion, four hundred twelve million, four hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 41 82 205 401 410 802 1097 2005 2194 4010 5485 5569 10970 11138 16441 27845 32882 44977 55690 82205 89954 164410 224885 228329 439897 449770 456658 879794 1141645 2199485 2233169 2283290 4398970 4466338 6109193 11165845 12218386 18035777 22331690 30545965 36071554 61091930 90178885 91559929 180357770 183119858 250476913 457799645 500953826 915599290 1252384565 2449786393 2504769130 4899572786 12248931965 24497863930 100441242113 200882484226 502206210565 1004412421130