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141213203145 = 3357221347423
BaseRepresentation
bin1000001110000011110…
…1100111101011001001
3111111111101112222121000
42003200331213223021
54303201040000040
6144512241005213
713126252264500
oct2034075475311
9444441488530
10141213203145
1154985198673
1223450023809
1310416029c91
146b987d7837
153a174b9130
hex20e0f67ac9

141213203145 has 48 divisors (see below), whose sum is σ = 292032760320. Its totient is φ = 64554604128.

The previous prime is 141213203129. The next prime is 141213203167. The reversal of 141213203145 is 541302312141.

141213203145 is a `hidden beast` number, since 1 + 4 + 1 + 21 + 320 + 314 + 5 = 666.

141213203145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141213203145 - 24 = 141213203129 is a prime.

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

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 47 ways as a sum of consecutive naturals, for example, 10667097 + ... + 10680326.

It is an arithmetic number, because the mean of its divisors is an integer number (6084015840).

Almost surely, 2141213203145 is an apocalyptic number.

141213203145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141213203145 is an abundant number, since it is smaller than the sum of its proper divisors (150819557175).

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

141213203145 is a wasteful number, since it uses less digits than its factorization.

141213203145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347451 (or 21347438 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 141213203145 its reverse (541302312141), we get a palindrome (682515515286).

The spelling of 141213203145 in words is "one hundred forty-one billion, two hundred thirteen million, two hundred three thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 21347423 64042269 106737115 149431961 192126807 320211345 448295883 576380421 747159805 960634035 1046023727 1344887649 2241479415 2881902105 3138071181 4034662947 5230118635 6724438245 9414213543 15690355905 20173314735 28242640629 47071067715 141213203145