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2123002313120 = 255131020674189
BaseRepresentation
bin11110111001001100110…
…011000111100110100000
321111221211200101202210202
4132321030303013212200
5234240402043004440
64303143243244332
7306244655625653
oct36711463074640
97457750352722
102123002313120
117493a6506217
122a35512196a8
13125276762a80
1474a7a84189a
153a356832615
hex1ee4ccc79a0

2123002313120 has 48 divisors (see below), whose sum is σ = 5401407813480. Its totient is φ = 783877776384.

The previous prime is 2123002313071. The next prime is 2123002313123. The reversal of 2123002313120 is 213132003212.

It can be written as a sum of positive squares in 4 ways, for example, as 1752944224144 + 370058088976 = 1323988^2 + 608324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2123002313092 and 2123002313101.

It is not an unprimeable number, because it can be changed into a prime (2123002313123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510335015 + ... + 510339174.

Almost surely, 22123002313120 is an apocalyptic number.

2123002313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123002313120 is an abundant number, since it is smaller than the sum of its proper divisors (3278405500360).

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

2123002313120 is a wasteful number, since it uses less digits than its factorization.

2123002313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020674217 (or 1020674209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2123002313120 its reverse (213132003212), we get a palindrome (2336134316332).

The spelling of 2123002313120 in words is "two trillion, one hundred twenty-three billion, two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 1020674189 2041348378 4082696756 5103370945 8165393512 10206741890 13268764457 16330787024 20413483780 26537528914 32661574048 40826967560 53075057828 66343822285 81653935120 106150115656 132687644570 163307870240 212300231312 265375289140 424600462624 530750578280 1061501156560 2123002313120