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320102424054 = 232723281393083
BaseRepresentation
bin1001010100001111001…
…01110101110111110110
31010121020111011222101100
410222013211311313312
520221032210032204
6403015241510530
732061302465550
oct4520745656766
91117214158340
10320102424054
11113833522aa6
12520557a2446
13242547b849a
14116c8c8a4d0
1584d740ca39
hex4a87975df6

320102424054 has 96 divisors (see below), whose sum is σ = 830042463744. Its totient is φ = 87169864320.

The previous prime is 320102424041. The next prime is 320102424097. The reversal of 320102424054 is 450424201023.

320102424054 is a `hidden beast` number, since 3 + 2 + 0 + 10 + 242 + 405 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 617797 + ... + 1010879.

It is an arithmetic number, because the mean of its divisors is an integer number (8646275664).

Almost surely, 2320102424054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320102424054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415021231872).

320102424054 is an abundant number, since it is smaller than the sum of its proper divisors (509940039690).

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

320102424054 is a wasteful number, since it uses less digits than its factorization.

320102424054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393402 (or 393399 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 320102424054 its reverse (450424201023), we get a palindrome (770526625077).

The spelling of 320102424054 in words is "three hundred twenty billion, one hundred two million, four hundred twenty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 281 322 414 483 562 843 966 1449 1686 1967 2529 2898 3934 5058 5901 6463 11802 12926 17703 19389 35406 38778 45241 58167 90482 116334 135723 271446 393083 407169 786166 814338 1179249 2358498 2751581 3537747 5503162 7075494 8254743 9040909 16509486 18081818 24764229 27122727 49528458 54245454 63286363 81368181 110456323 126572726 162736362 189859089 220912646 331368969 379718178 569577267 662737938 773194261 994106907 1139154534 1546388522 1988213814 2319582783 2540495429 4639165566 5080990858 6958748349 7621486287 13917496698 15242972574 17783468003 22864458861 35566936006 45728917722 53350404009 106700808018 160051212027 320102424054