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107218345077 = 3229499823243
BaseRepresentation
bin110001111011010110…
…1100001110001110101
3101020202020020021011200
41203312231201301311
53224040344020302
6121131101123113
710513653616224
oct1436655416165
9336666207150
10107218345077
114151aa62648
1218943259499
13a159123a4c
1452919b6cbb
152bc7cd381c
hex18f6b61c75

107218345077 has 24 divisors (see below), whose sum is σ = 160532580000. Its totient is φ = 68875718688.

The previous prime is 107218345063. The next prime is 107218345093. The reversal of 107218345077 is 770543812701.

107218345077 is a `hidden beast` number, since 10 + 7 + 2 + 183 + 450 + 7 + 7 = 666.

It is not a de Polignac number, because 107218345077 - 210 = 107218344053 is a prime.

It is a super-2 number, since 2×1072183450772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107218345027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281383 + ... + 541860.

It is an arithmetic number, because the mean of its divisors is an integer number (6688857500).

Almost surely, 2107218345077 is an apocalyptic number.

It is an amenable number.

107218345077 is a deficient number, since it is larger than the sum of its proper divisors (53314234923).

107218345077 is a wasteful number, since it uses less digits than its factorization.

107218345077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823777 (or 823774 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 107218345077 in words is "one hundred seven billion, two hundred eighteen million, three hundred forty-five thousand, seventy-seven".

Divisors: 1 3 9 29 87 261 499 1497 4491 14471 43413 130239 823243 2469729 7409187 23874047 71622141 214866423 410798257 1232394771 3697184313 11913149453 35739448359 107218345077