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10011000442443 = 37111324113832641
BaseRepresentation
bin1001000110101101111000…
…1000000000111001001011
31022110001010211111121222120
42101223132020000321023
52303010012103124233
633142553510422323
72052161631512130
oct221533610007113
938401124447876
1010011000442443
11320a706844270
1211582479619a3
135780581a9370
1426876c0b6587
15125620a6d4b3
hex91ade200e4b

10011000442443 has 64 divisors (see below), whose sum is σ = 17996156580864. Its totient is φ = 4780560384000.

The previous prime is 10011000442441. The next prime is 10011000442477. The reversal of 10011000442443 is 34424400011001.

It is not a de Polignac number, because 10011000442443 - 21 = 10011000442441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011000442441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6192598 + ... + 7640043.

It is an arithmetic number, because the mean of its divisors is an integer number (281189946576).

Almost surely, 210011000442443 is an apocalyptic number.

10011000442443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10011000442443 is a deficient number, since it is larger than the sum of its proper divisors (7985156138421).

10011000442443 is a wasteful number, since it uses less digits than its factorization.

10011000442443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13832916.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10011000442443 its reverse (34424400011001), we get a palindrome (44435400453444).

The spelling of 10011000442443 in words is "ten trillion, eleven billion, four hundred forty-two thousand, four hundred forty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 241 273 429 723 1001 1687 2651 3003 3133 5061 7953 9399 18557 21931 34463 55671 65793 103389 241241 723723 13832641 41497923 96828487 152159051 179824333 290485461 456477153 539472999 1065113357 1258770331 1978067663 3195340071 3333666481 3776310993 5934202989 10000999443 13846473641 23335665367 36670331291 41539420923 43337664253 70006996101 110010993873 130012992759 256692319037 303363649771 476714306783 770076957111 910090949313 1430142920349 3337000147481 10011000442443