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2101320041424 = 243371183175699
BaseRepresentation
bin11110100101000000011…
…011110100001111010000
321102212212121101020121220
4132211000123310033100
5233412000412311144
64245155541045040
7304546445434602
oct36450033641720
97385777336556
102101320041424
1174018a42260a
1229b2bb9b6780
131231cc6a7cc6
14739c0d6b172
15399d8065919
hex1e9406f43d0

2101320041424 has 40 divisors (see below), whose sum is σ = 5575123898400. Its totient is φ = 681509202048.

The previous prime is 2101320041419. The next prime is 2101320041441. The reversal of 2101320041424 is 4241400231012.

It is a super-2 number, since 2×21013200414242 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101320041394 and 2101320041403.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 591586074 + ... + 591589625.

It is an arithmetic number, because the mean of its divisors is an integer number (139378097460).

Almost surely, 22101320041424 is an apocalyptic number.

2101320041424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2101320041424 is an abundant number, since it is smaller than the sum of its proper divisors (3473803856976).

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

2101320041424 is a wasteful number, since it uses less digits than its factorization.

2101320041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183175747 (or 1183175741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2101320041424 its reverse (4241400231012), we get a palindrome (6342720272436).

The spelling of 2101320041424 in words is "two trillion, one hundred one billion, three hundred twenty million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 1183175699 2366351398 3549527097 4732702796 7099054194 9465405592 14198108388 18930811184 28396216776 43777500863 56792433552 87555001726 131332502589 175110003452 262665005178 350220006904 525330010356 700440013808 1050660020712 2101320041424