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10320434335653 = 3132922740198469
BaseRepresentation
bin1001011000101110100111…
…0100101000111110100101
31100112121211210222002022220
42112023221310220332211
52323042222142220103
633541050404542553
72113424661302361
oct226135164507645
940477753862286
1010320434335653
113319965147122
1211a82046b1a59
1359b29c6358b0
142797240d82a1
1512d6d1564c53
hex962e9d28fa5

10320434335653 has 32 divisors (see below), whose sum is σ = 15397621948800. Its totient is φ = 6105021732096.

The previous prime is 10320434335649. The next prime is 10320434335663. The reversal of 10320434335653 is 35653343402301.

It is not a de Polignac number, because 10320434335653 - 22 = 10320434335649 is a prime.

It is a super-2 number, since 2×103204343356532 (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 (10320434335663) 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 31 ways as a sum of consecutive naturals, for example, 19842498 + ... + 20355971.

It is an arithmetic number, because the mean of its divisors is an integer number (481175685900).

Almost surely, 210320434335653 is an apocalyptic number.

10320434335653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10320434335653 is a deficient number, since it is larger than the sum of its proper divisors (5077187613147).

10320434335653 is a wasteful number, since it uses less digits than its factorization.

10320434335653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40198741.

The product of its (nonzero) digits is 1166400, while the sum is 42.

Adding to 10320434335653 its reverse (35653343402301), we get a palindrome (45973777737954).

The spelling of 10320434335653 in words is "ten trillion, three hundred twenty billion, four hundred thirty-four million, three hundred thirty-five thousand, six hundred fifty-three".

Divisors: 1 3 13 29 39 87 227 377 681 1131 2951 6583 8853 19749 85579 256737 40198469 120595407 522580097 1165755601 1567740291 3497266803 9125052463 15154822813 27375157389 45464468439 118625682019 264626521427 355877046057 793879564281 3440144778551 10320434335653