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20331042350213 = 726143649155833
BaseRepresentation
bin1001001111101101100001…
…00011101010010010000101
32122222121222022001022110102
410213312300203222102011
510131100433320201323
6111123541340333445
74165604116411100
oct447666043522205
978877868038412
1020331042350213
11652938a417521
122344360b44285
13b462944220ba
1450405601b737
15253ccc918328
hex127db08ea485

20331042350213 has 24 divisors (see below), whose sum is σ = 24038812589400. Its totient is φ = 17140422942720.

The previous prime is 20331042350209. The next prime is 20331042350257. The reversal of 20331042350213 is 31205324013302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142492660324 + 20188549689889 = 377482^2 + 4493167^2 .

It is not a de Polignac number, because 20331042350213 - 22 = 20331042350209 is a prime.

It is a super-2 number, since 2×203310423502132 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331042353213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130388945 + ... + 130544777.

It is an arithmetic number, because the mean of its divisors is an integer number (1001617191225).

Almost surely, 220331042350213 is an apocalyptic number.

It is an amenable number.

20331042350213 is a deficient number, since it is larger than the sum of its proper divisors (3707770239187).

20331042350213 is a wasteful number, since it uses less digits than its factorization.

20331042350213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199557 (or 199550 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 20331042350213 its reverse (31205324013302), we get a palindrome (51536366363515).

The spelling of 20331042350213 in words is "twenty trillion, three hundred thirty-one billion, forty-two million, three hundred fifty thousand, two hundred thirteen".

Divisors: 1 7 49 61 427 2989 43649 155833 305543 1090831 2138801 2662589 7635817 9505813 18638123 66540691 130466861 465784837 6801954617 47613682319 333295776233 414919231637 2904434621459 20331042350213