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2100424042112 = 2711532531071
BaseRepresentation
bin11110100100001011000…
…001110110011010000000
321102210120011101202122012
4132210023001312122000
5233403132023321422
64244531012432052
7304515315530654
oct36441301663200
97383504352565
102100424042112
1173a86a683010
1229b0ab918628
131230b8b825b6
1473937d72a64
15399845794e2
hex1e90b076680

2100424042112 has 96 divisors (see below), whose sum is σ = 4652604956160. Its totient is φ = 936722508800.

The previous prime is 2100424042069. The next prime is 2100424042151. The reversal of 2100424042112 is 2112404240012.

It is a super-2 number, since 2×21004240421122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3689537 + ... + 4220607.

It is an arithmetic number, because the mean of its divisors is an integer number (48464634960).

Almost surely, 22100424042112 is an apocalyptic number.

2100424042112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100424042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326302478080).

2100424042112 is an abundant number, since it is smaller than the sum of its proper divisors (2552180914048).

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

2100424042112 is an equidigital number, since it uses as much as digits as its factorization.

2100424042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531202 (or 531137 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 2100424042112 its reverse (2112404240012), we get a palindrome (4212828282124).

The spelling of 2100424042112 in words is "two trillion, one hundred billion, four hundred twenty-four million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 352 424 583 704 848 1166 1408 1696 2332 2809 3392 4664 5618 6784 9328 11236 18656 22472 30899 37312 44944 61798 74624 89888 123596 179776 247192 359552 494384 531071 988768 1062142 1977536 2124284 3955072 4248568 5841781 8497136 11683562 16994272 23367124 28146763 33988544 46734248 56293526 67977088 93468496 112587052 186936992 225174104 309614393 373873984 450348208 619228786 747747968 900696416 1238457572 1491778439 1801392832 2476915144 2983556878 3602785664 4953830288 5967113756 9907660576 11934227512 16409562829 19815321152 23868455024 32819125658 39630642304 47736910048 65638251316 95473820096 131276502632 190947640192 262553005264 525106010528 1050212021056 2100424042112