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21214036542413 = 1121326950135149
BaseRepresentation
bin1001101001011010001110…
…00111001100001111001101
32210010001010200101211222102
410310231013013030033031
510240032321323324123
6113041332134324445
74316443413251051
oct464550707141715
983101120354872
1021214036542413
116839905641200
122467509ab9725
13bab623933430
14534a9ca51c61
1526bc5bec2028
hex134b471cc3cd

21214036542413 has 24 divisors (see below), whose sum is σ = 25204945311000. Its totient is φ = 17735809956480.

The previous prime is 21214036542407. The next prime is 21214036542421. The reversal of 21214036542413 is 31424563041212.

It can be written as a sum of positive squares in 4 ways, for example, as 1702928431369 + 19511108111044 = 1304963^2 + 4417138^2 .

It is a de Polignac number, because none of the positive numbers 2k-21214036542413 is a prime.

It is a super-2 number, since 2×212140365424132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214036542403) by changing a digit.

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, 24644438 + ... + 25490711.

It is an arithmetic number, because the mean of its divisors is an integer number (1050206054625).

Almost surely, 221214036542413 is an apocalyptic number.

It is an amenable number.

21214036542413 is a deficient number, since it is larger than the sum of its proper divisors (3990908768587).

21214036542413 is a wasteful number, since it uses less digits than its factorization.

21214036542413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50135453 (or 50135442 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 21214036542413 its reverse (31424563041212), we get a palindrome (52638599583625).

The spelling of 21214036542413 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred forty-two thousand, four hundred thirteen".

Divisors: 1 11 13 121 143 269 1573 2959 3497 32549 38467 423137 50135149 551486639 651756937 6066353029 7169326307 13486355081 78862589377 148349905891 175322616053 1631848964801 1928548776583 21214036542413