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10412444311011 = 331409273701977
BaseRepresentation
bin1001011110000101011000…
…0010110101110111100011
31100212102100010222010022000
42113201112002311313203
52331044141220423021
634051224430015043
72123163035215401
oct227412602656743
940772303863260
1010412444311011
1133549903a8476
121202002647483
135a6b739b57b2
1427dd71d2a471
15130cb90c4b26
hex978560b5de3

10412444311011 has 16 divisors (see below), whose sum is σ = 15436791559200. Its totient is φ = 6936702879744.

The previous prime is 10412444310959. The next prime is 10412444311019. The reversal of 10412444311011 is 11011344421401.

10412444311011 is a `hidden beast` number, since 1 + 0 + 4 + 124 + 4 + 431 + 101 + 1 = 666.

It is not a de Polignac number, because 10412444311011 - 211 = 10412444308963 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10412444311019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136812946 + ... + 136889031.

It is an arithmetic number, because the mean of its divisors is an integer number (964799472450).

Almost surely, 210412444311011 is an apocalyptic number.

10412444311011 is a deficient number, since it is larger than the sum of its proper divisors (5024347248189).

10412444311011 is a wasteful number, since it uses less digits than its factorization.

10412444311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273703395 (or 273703389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10412444311011 its reverse (11011344421401), we get a palindrome (21423788732412).

The spelling of 10412444311011 in words is "ten trillion, four hundred twelve billion, four hundred forty-four million, three hundred eleven thousand, eleven".

Divisors: 1 3 9 27 1409 4227 12681 38043 273701977 821105931 2463317793 7389953379 385646085593 1156938256779 3470814770337 10412444311011