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661105401 = 311217149719
BaseRepresentation
bin100111011001111…
…010101011111001
31201001222122010020
4213121322223321
52323220333101
6145333441053
722245205665
oct4731725371
91631878106
10661105401
1130a1a4300
121654a0189
13a6c71a38
1463b318a5
153d08d136
hex2767aaf9

661105401 has 48 divisors (see below), whose sum is σ = 1034208000. Its totient is φ = 374049280.

The previous prime is 661105391. The next prime is 661105421. The reversal of 661105401 is 104501166.

It is not a de Polignac number, because 661105401 - 27 = 661105273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (661105421) by changing a digit.

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, 919120 + ... + 919838.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 2661105401 is an apocalyptic number.

It is an amenable number.

661105401 is a deficient number, since it is larger than the sum of its proper divisors (373102599).

661105401 is a wasteful number, since it uses less digits than its factorization.

661105401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 661105401 is about 25711.9699945376. The cubic root of 661105401 is about 871.1445722822.

Adding to 661105401 its reverse (104501166), we get a palindrome (765606567).

The spelling of 661105401 in words is "six hundred sixty-one million, one hundred five thousand, four hundred one".

Divisors: 1 3 11 17 33 51 121 149 187 363 447 561 719 1639 2057 2157 2533 4917 6171 7599 7909 12223 18029 23727 27863 36669 54087 83589 86999 107131 134453 260997 306493 321393 403359 919479 1178441 1478983 1821227 3535323 4436949 5463681 12962851 20033497 38888553 60100491 220368467 661105401