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1012324224141 = 331712717366137
BaseRepresentation
bin11101011101100110011…
…10011100110010001101
310120202222121121212202000
432232303032130302031
5113041220000133031
62053015541222513
7133065223633446
oct16566316346215
93522877555660
101012324224141
113603626a69aa
12144241401a39
1374600660169
1436dd51422cd
151b4ed6cd3e6
hexebb339cc8d

1012324224141 has 32 divisors (see below), whose sum is σ = 1600463278080. Its totient is φ = 630182343168.

The previous prime is 1012324224139. The next prime is 1012324224227. The reversal of 1012324224141 is 1414224232101.

1012324224141 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 242 + 2 + 414 + 1 = 666.

It is not a de Polignac number, because 1012324224141 - 21 = 1012324224139 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012324222141) 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 31 ways as a sum of consecutive naturals, for example, 8624776 + ... + 8741361.

It is an arithmetic number, because the mean of its divisors is an integer number (50014477440).

Almost surely, 21012324224141 is an apocalyptic number.

It is an amenable number.

1012324224141 is a deficient number, since it is larger than the sum of its proper divisors (588139053939).

1012324224141 is a wasteful number, since it uses less digits than its factorization.

1012324224141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366290 (or 17366284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1012324224141 its reverse (1414224232101), we get a palindrome (2426548456242).

The spelling of 1012324224141 in words is "one trillion, twelve billion, three hundred twenty-four million, two hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 17 27 51 127 153 381 459 1143 2159 3429 6477 19431 58293 17366137 52098411 156295233 295224329 468885699 885672987 2205499399 2657018961 6616498197 7971056883 19849494591 37493489783 59548483773 112480469349 337441408047 1012324224141