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107761110941 = 1188611105571
BaseRepresentation
bin110010001011100010…
…0000000111110011101
3101022011001112121222002
41210113010000332131
53231143321022231
6121301010332045
710533264221051
oct1442704007635
9338131477862
10107761110941
1141779379680
1218a74b8a025
13a214700593
145303b01c61
152c0a7980cb
hex1917100f9d

107761110941 has 8 divisors (see below), whose sum is σ = 117570948768. Its totient is φ = 97953502000.

The previous prime is 107761110917. The next prime is 107761110967. The reversal of 107761110941 is 149011167701.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107761110941 is a prime.

It is a super-2 number, since 2×1077611109412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107761110895 and 107761110904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107761110901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455315 + ... + 650256.

It is an arithmetic number, because the mean of its divisors is an integer number (14696368596).

Almost surely, 2107761110941 is an apocalyptic number.

107761110941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107761110941 is a deficient number, since it is larger than the sum of its proper divisors (9809837827).

107761110941 is a wasteful number, since it uses less digits than its factorization.

107761110941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114443.

The product of its (nonzero) digits is 10584, while the sum is 38.

The spelling of 107761110941 in words is "one hundred seven billion, seven hundred sixty-one million, one hundred ten thousand, nine hundred forty-one".

Divisors: 1 11 8861 97471 1105571 12161281 9796464631 107761110941