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10003102220131 = 83907405132801
BaseRepresentation
bin1001000110010000011101…
…0110101011111101100011
31022102021202101121100211021
42101210013112223331203
52302342323132021011
633135210044230311
72051462124646666
oct221440726537543
938367671540737
1010003102220131
113207323471a09
12115680283b397
13577399a7cc37
1426821d1436dd
1512530c479471
hex919075abf63

10003102220131 has 16 divisors (see below), whose sum is σ = 10137594031488. Its totient is φ = 9868949280000.

The previous prime is 10003102220119. The next prime is 10003102220191. The reversal of 10003102220131 is 13102220130001.

It is a cyclic number.

It is not a de Polignac number, because 10003102220131 - 213 = 10003102211939 is a prime.

It is a super-2 number, since 2×100031022201312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003102220191) 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 15 ways as a sum of consecutive naturals, for example, 304946931 + ... + 304979731.

It is an arithmetic number, because the mean of its divisors is an integer number (633599626968).

Almost surely, 210003102220131 is an apocalyptic number.

10003102220131 is a deficient number, since it is larger than the sum of its proper divisors (134491811357).

10003102220131 is an equidigital number, since it uses as much as digits as its factorization.

10003102220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37842.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10003102220131 its reverse (13102220130001), we get a palindrome (23105322350132).

The spelling of 10003102220131 in words is "ten trillion, three billion, one hundred two million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 83 907 4051 32801 75281 336233 2722483 3674257 29750507 132876851 304963331 2469292081 11028778633 120519303857 10003102220131