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2120512533444 = 2232601119382153
BaseRepresentation
bin11110110110111000011…
…001010111001111000100
321111201102011102212011200
4132312320121113033010
5234220302202032234
64302052222502500
7306126164065044
oct36667031271704
97451364385150
102120512533444
11748339052968
122a2b77434a30
13124c6a9a1566
14748c1cd1724
153a25ce74d99
hex1edb86573c4

2120512533444 has 72 divisors (see below), whose sum is σ = 5373669151032. Its totient is φ = 705061324800.

The previous prime is 2120512533431. The next prime is 2120512533457. The reversal of 2120512533444 is 4443352150212.

It is a happy number.

2120512533444 is a `hidden beast` number, since 2 + 1 + 20 + 512 + 53 + 34 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2120512533431) and next prime (2120512533457).

It can be written as a sum of positive squares in 4 ways, for example, as 353442140100 + 1767070393344 = 594510^2 + 1329312^2 .

It is a super-2 number, since 2×21205125334442 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2120512533399 and 2120512533408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25770672 + ... + 25852824.

Almost surely, 22120512533444 is an apocalyptic number.

It is an amenable number.

2120512533444 is an abundant number, since it is smaller than the sum of its proper divisors (3253156617588).

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

2120512533444 is a wasteful number, since it uses less digits than its factorization.

2120512533444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83957 (or 83952 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2120512533444 its reverse (4443352150212), we get a palindrome (6563864683656).

The spelling of 2120512533444 in words is "two trillion, one hundred twenty billion, five hundred twelve million, five hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 601 1193 1202 1803 2386 2404 3579 3606 4772 5409 7158 7212 10737 10818 14316 21474 21636 42948 82153 164306 246459 328612 492918 716993 739377 985836 1433986 1478754 2150979 2867972 2957508 4301958 6452937 8603916 12905874 25811748 49373953 98008529 98747906 148121859 196017058 197495812 294025587 296243718 392034116 444365577 588051174 592487436 882076761 888731154 1176102348 1764153522 1777462308 3528307044 58903125929 117806251858 176709377787 235612503716 353418755574 530128133361 706837511148 1060256266722 2120512533444