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61109168121 = 3340922672441
BaseRepresentation
bin111000111010011000…
…111110011111111001
312211201210200101101000
4320322120332133321
52000122421334441
644023445315213
74262225234001
oct707230763771
9184653611330
1061109168121
1123a09594531
12ba15405b09
1359bb49aba1
142d59cdb001
1518c9cea2b6
hexe3a63e7f9

61109168121 has 32 divisors (see below), whose sum is σ = 90830678400. Its totient is φ = 40605269760.

The previous prime is 61109168093. The next prime is 61109168123. The reversal of 61109168121 is 12186190116.

It is a happy number.

61109168121 is a `hidden beast` number, since 611 + 0 + 9 + 16 + 8 + 1 + 21 = 666.

It is not a de Polignac number, because 61109168121 - 222 = 61104973817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61109168123) 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, 25033261 + ... + 25035701.

It is an arithmetic number, because the mean of its divisors is an integer number (2838458700).

Almost surely, 261109168121 is an apocalyptic number.

It is an amenable number.

61109168121 is a deficient number, since it is larger than the sum of its proper divisors (29721510279).

61109168121 is a wasteful number, since it uses less digits than its factorization.

61109168121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 61109168121 in words is "sixty-one billion, one hundred nine million, one hundred sixty-eight thousand, one hundred twenty-one".

Divisors: 1 3 9 27 409 1227 2267 2441 3681 6801 7323 11043 20403 21969 61209 65907 927203 998369 2781609 2995107 5533747 8344827 8985321 16601241 25034481 26955963 49803723 149411169 2263302523 6789907569 20369722707 61109168121