Search a number
-
+
2112345428160 = 263511200032711
BaseRepresentation
bin11110101111010001100…
…110010101000011000000
321110221022222120220220210
4132233101212111003000
5234102040412200120
64254221553234120
7305416613613342
oct36572146250300
97427288526823
102112345428160
11744927a1a880
122a1478262940
13124268950896
1474349369292
1539e30e6bce0
hex1ebd19950c0

2112345428160 has 112 divisors (see below), whose sum is σ = 7316396474112. Its totient is φ = 512083737600.

The previous prime is 2112345428143. The next prime is 2112345428177. The reversal of 2112345428160 is 618245432112.

It is an interprime number because it is at equal distance from previous prime (2112345428143) and next prime (2112345428177).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100005796 + ... + 100026915.

Almost surely, 22112345428160 is an apocalyptic number.

2112345428160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112345428160 is an abundant number, since it is smaller than the sum of its proper divisors (5204051045952).

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

2112345428160 is a wasteful number, since it uses less digits than its factorization.

2112345428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200032742 (or 200032732 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 2112345428160 in words is "two trillion, one hundred twelve billion, three hundred forty-five million, four hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 200032711 400065422 600098133 800130844 1000163555 1200196266 1600261688 2000327110 2200359821 2400392532 3000490665 3200523376 4000654220 4400719642 4800785064 6000981330 6401046752 6601079463 8001308440 8801439284 9601570128 11001799105 12001962660 12802093504 13202158926 16002616880 17602878568 19203140256 22003598210 24003925320 26404317852 32005233760 33005397315 35205757136 38406280512 44007196420 48007850640 52808635704 64010467520 66010794630 70411514272 88014392840 96015701280 105617271408 132021589260 140823028544 176028785680 192031402560 211234542816 264043178520 352057571360 422469085632 528086357040 704115142720 1056172714080 2112345428160