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10000200015 = 32513231395347
BaseRepresentation
bin10010101000000111…
…01111000101001111
3221210221010210111100
421110003233011033
5130440022400030
64332150554143
7502546204041
oct112403570517
927727123440
1010000200015
114271941313
121b31068953
13c34a5a520
146ac1b5a91
153d7dec360
hex2540ef14f

10000200015 has 96 divisors (see below), whose sum is σ = 19622453760. Its totient is φ = 4674371328.

The previous prime is 10000199987. The next prime is 10000200017. The reversal of 10000200015 is 51000200001.

It is a happy number.

10000200015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000200015 - 25 = 10000199983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1867572 + ... + 1872918.

It is an arithmetic number, because the mean of its divisors is an integer number (204400560).

Almost surely, 210000200015 is an apocalyptic number.

10000200015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10000200015 is a deficient number, since it is larger than the sum of its proper divisors (9622253745).

10000200015 is a wasteful number, since it uses less digits than its factorization.

10000200015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 10000200015 its reverse (51000200001), we get a palindrome (61000400016).

The spelling of 10000200015 in words is "ten billion, two hundred thousand, fifteen".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 139 195 207 299 345 417 585 695 897 1035 1251 1495 1807 2085 2691 3197 4485 5347 5421 6255 9035 9591 13455 15985 16041 16263 26735 27105 28773 41561 47955 48123 69511 80205 81315 122981 124683 143865 207805 208533 240615 347555 368943 374049 614905 623415 625599 743233 1042665 1106829 1598753 1844715 1870245 2229699 3127995 3716165 4796259 5534145 6689097 7993765 9662029 11148495 14388777 17094359 23981295 28986087 33445485 48310145 51283077 71943885 85471795 86958261 144930435 153849231 222226667 256415385 434791305 666680001 769246155 1111133335 2000040003 3333400005 10000200015