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2117120217112 = 231931895048359
BaseRepresentation
bin11110110011101110001…
…100101101000000011000
321111101122202012100000001
4132303232030231000120
5234141330233421422
64300331441422344
7305646132632005
oct36635614550030
97441582170001
102117120217112
1174695819544a
122a238b33a9b4
13124849c38ba4
147467d5648ac
153a110239227
hex1ecee32d018

2117120217112 has 64 divisors (see below), whose sum is σ = 4361783040000. Its totient is φ = 959591888640.

The previous prime is 2117120217109. The next prime is 2117120217119.

2117120217112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117120217119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104812 + ... + 2943547.

It is an arithmetic number, because the mean of its divisors is an integer number (68152860000).

Almost surely, 22117120217112 is an apocalyptic number.

It is an amenable number.

2117120217112 is an abundant number, since it is smaller than the sum of its proper divisors (2244662822888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2117120217112 is a wasteful number, since it uses less digits than its factorization.

2117120217112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048504 (or 5048500 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 28.

The spelling of 2117120217112 in words is "two trillion, one hundred seventeen billion, one hundred twenty million, two hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 4 8 19 31 38 62 76 89 124 152 178 248 356 589 712 1178 1691 2356 2759 3382 4712 5518 6764 11036 13528 22072 52421 104842 209684 419368 5048359 10096718 20193436 40386872 95918821 156499129 191837642 312998258 383675284 449303951 625996516 767350568 898607902 1251993032 1797215804 2973483451 3594431608 5946966902 8536775069 11893933804 13928422481 17073550138 23787867608 27856844962 34147100276 55713689924 68294200552 111427379848 264640027139 529280054278 1058560108556 2117120217112