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2112041013432 = 2337312391696811
BaseRepresentation
bin11110101110111111011…
…101000101000010111000
321110220112202210001102020
4132232333131011002320
5234100424444412212
64254131440434440
7305406226256010
oct36567735050270
97426482701366
102112041013432
11744791100559
122a13b2318a20
1312421a86851c
147431ab66c40
1539e14389d8c
hex1ebbf7450b8

2112041013432 has 128 divisors (see below), whose sum is σ = 6255127756800. Its totient is φ = 581530723200.

The previous prime is 2112041013413. The next prime is 2112041013437. The reversal of 2112041013432 is 2343101402112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112041013437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396307 + ... + 2093117.

It is an arithmetic number, because the mean of its divisors is an integer number (48868185600).

Almost surely, 22112041013432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112041013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127563878400).

2112041013432 is an abundant number, since it is smaller than the sum of its proper divisors (4143086743368).

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

2112041013432 is a wasteful number, since it uses less digits than its factorization.

2112041013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697097 (or 1697093 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2112041013432 its reverse (2343101402112), we get a palindrome (4455142415544).

The spelling of 2112041013432 in words is "two trillion, one hundred twelve billion, forty-one million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 239 248 372 434 478 651 717 744 868 956 1302 1434 1673 1736 1912 2604 2868 3346 5019 5208 5736 6692 7409 10038 13384 14818 20076 22227 29636 40152 44454 51863 59272 88908 103726 155589 177816 207452 311178 414904 622356 1244712 1696811 3393622 5090433 6787244 10180866 11877677 13574488 20361732 23755354 35633031 40723464 47510708 52601141 71266062 95021416 105202282 142532124 157803423 210404564 285064248 315606846 368207987 405537829 420809128 631213692 736415974 811075658 1104623961 1216613487 1262427384 1472831948 1622151316 2209247922 2433226974 2838764803 2945663896 3244302632 4418495844 4866453948 5677529606 8516294409 8836991688 9732907896 11355059212 12571672699 17032588818 22710118424 25143345398 34065177636 37715018097 50286690796 68130355272 75430036194 88001708893 100573381592 150860072388 176003417786 264005126679 301720144776 352006835572 528010253358 704013671144 1056020506716 2112041013432