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10141413143211 = 337433123922103
BaseRepresentation
bin1001001110010011101101…
…0100111111001010101011
31022220111202112000020122000
42103210323110333022223
52312124103231040321
633322522331302043
72064456446256540
oct223447324771253
938814675006560
1010141413143211
11325aa49373609
1211795828aa923
1358743c71b41c
14270bc02d0bc7
15128c04c53826
hex9393b53f2ab

10141413143211 has 32 divisors (see below), whose sum is σ = 17210301803520. Its totient is φ = 5781709590912.

The previous prime is 10141413143203. The next prime is 10141413143249. The reversal of 10141413143211 is 11234131414101.

10141413143211 is a `hidden beast` number, since 1 + 0 + 1 + 414 + 1 + 31 + 4 + 3 + 211 = 666.

It is not a de Polignac number, because 10141413143211 - 23 = 10141413143203 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 (10141413143011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61879215 + ... + 62042888.

It is an arithmetic number, because the mean of its divisors is an integer number (537821931360).

Almost surely, 210141413143211 is an apocalyptic number.

10141413143211 is a deficient number, since it is larger than the sum of its proper divisors (7068888660309).

10141413143211 is a wasteful number, since it uses less digits than its factorization.

10141413143211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123922552 (or 123922546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10141413143211 its reverse (11234131414101), we get a palindrome (21375544557312).

The spelling of 10141413143211 in words is "ten trillion, one hundred forty-one billion, four hundred thirteen million, one hundred forty-three thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 433 1299 3031 3897 9093 11691 27279 81837 123922103 371766309 867454721 1115298927 2602364163 3345896781 7807092489 23421277467 53658270599 160974811797 375607894193 482924435391 1126823682579 1448773306173 3380471047737 10141413143211