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10412431410330 = 234512854853593
BaseRepresentation
bin1001011110000101010101…
…0001101000010010011010
31100212102022020200200220000
42113201111101220102122
52331044124420112310
634051223245313430
72123162520445155
oct227412521502232
940772266620800
1010412431410330
113354984096a54
121201bba265876
135a6b71119861
1427dd7032cc9c
15130cb7dc74c0
hex9785546849a

10412431410330 has 40 divisors (see below), whose sum is σ = 27997871127732. Its totient is φ = 2776648375872.

The previous prime is 10412431410319. The next prime is 10412431410379. The reversal of 10412431410330 is 3301413421401.

10412431410330 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 4 + 314 + 10 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10146754047609 + 265677362721 = 3185397^2 + 515439^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10412431410294 and 10412431410303.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6427425987 + ... + 6427427606.

Almost surely, 210412431410330 is an apocalyptic number.

10412431410330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10412431410330 is an abundant number, since it is smaller than the sum of its proper divisors (17585439717402).

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

10412431410330 is a wasteful number, since it uses less digits than its factorization.

10412431410330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854853612 (or 12854853603 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10412431410330 its reverse (3301413421401), we get a palindrome (13713844831731).

The spelling of 10412431410330 in words is "ten trillion, four hundred twelve billion, four hundred thirty-one million, four hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 12854853593 25709707186 38564560779 64274267965 77129121558 115693682337 128548535930 192822803895 231387364674 347081047011 385645607790 578468411685 694162094022 1041243141033 1156936823370 1735405235055 2082486282066 3470810470110 5206215705165 10412431410330