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2110083274116 = 2232232692518949
BaseRepresentation
bin11110101101001010110…
…000111001010110000100
321110201111022221120221200
4132231022300321112010
5234032422304232431
64253205303342500
7305306554616136
oct36551260712604
97421438846850
102110083274116
11743976aa8a84
122a0b46751a30
13123c980999ac
14741b2b4d056
1539d4c573ee6
hex1eb4ac39584

2110083274116 has 36 divisors (see below), whose sum is σ = 5334052951500. Its totient is φ = 703330584768.

The previous prime is 2110083274111. The next prime is 2110083274133. The reversal of 2110083274116 is 6114723800112.

2110083274116 is a `hidden beast` number, since 211 + 0 + 0 + 8 + 3 + 27 + 411 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1639424160000 + 470659114116 = 1280400^2 + 686046^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2110083274111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421791 + ... + 2097158.

Almost surely, 22110083274116 is an apocalyptic number.

It is an amenable number.

2110083274116 is an abundant number, since it is smaller than the sum of its proper divisors (3223969677384).

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

2110083274116 is a wasteful number, since it uses less digits than its factorization.

2110083274116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542228 (or 2542223 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 2110083274116 in words is "two trillion, one hundred ten billion, eighty-three million, two hundred seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 23269 46538 69807 93076 139614 209421 279228 418842 837684 2518949 5037898 7556847 10075796 15113694 22670541 30227388 45341082 90682164 58613424281 117226848562 175840272843 234453697124 351680545686 527520818529 703361091372 1055041637058 2110083274116