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10302331022441 = 415316212924777
BaseRepresentation
bin1001010111101011001011…
…0001111110110001101001
31100110220010011101111012222
42111322302301332301221
52322243133220204231
633524454152043425
72112214236545513
oct225726261766151
940426104344188
1010302331022441
11331221530aa47
1211a47b1993575
13599675ba1743
142788c7a96bb3
1512cec20a027b
hex95eb2c7ec69

10302331022441 has 16 divisors (see below), whose sum is σ = 10759369129488. Its totient is φ = 9855325209600.

The previous prime is 10302331022437. The next prime is 10302331022461. The reversal of 10302331022441 is 14422013320301.

It can be written as a sum of positive squares in 8 ways, for example, as 1077504204841 + 9224826817600 = 1038029^2 + 3037240^2 .

It is not a de Polignac number, because 10302331022441 - 22 = 10302331022437 is a prime.

It is a super-2 number, since 2×103023310224412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10302331022441.

It is not an unprimeable number, because it can be changed into a prime (10302331022461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2060045 + ... + 4984821.

It is an arithmetic number, because the mean of its divisors is an integer number (672460570593).

Almost surely, 210302331022441 is an apocalyptic number.

It is an amenable number.

10302331022441 is a deficient number, since it is larger than the sum of its proper divisors (457038107047).

10302331022441 is a wasteful number, since it uses less digits than its factorization.

10302331022441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926492.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10302331022441 its reverse (14422013320301), we get a palindrome (24724344342742).

The spelling of 10302331022441 in words is "ten trillion, three hundred two billion, three hundred thirty-one million, twenty-two thousand, four hundred forty-one".

Divisors: 1 41 53 1621 2173 66461 85913 2924777 3522433 119915857 155013181 4741063517 6355540421 194383604197 251276366401 10302331022441