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20100210001119 = 32471073559124781
BaseRepresentation
bin1001001000111111100011…
…11000001000010011011111
32122011120011012021000021200
410210133301320020103133
510113310212230013434
6110425524202130543
74143122641000353
oct444376170102337
978146135230250
1020100210001119
11644a4a6597086
12230767b7b0a53
13b2a59846c9a1
144d6bd9145463
1524ccbc753199
hex1247f1e084df

20100210001119 has 48 divisors (see below), whose sum is σ = 29937138416640. Its totient is φ = 12988705573440.

The previous prime is 20100210000989. The next prime is 20100210001121. The reversal of 20100210001119 is 91110001200102.

It is a happy number.

It is not a de Polignac number, because 20100210001119 - 213 = 20100209992927 is a prime.

It is a super-2 number, since 2×201002100011192 (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 (20100210001189) 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 47 ways as a sum of consecutive naturals, for example, 161021509 + ... + 161146289.

It is an arithmetic number, because the mean of its divisors is an integer number (623690383680).

Almost surely, 220100210001119 is an apocalyptic number.

20100210001119 is a deficient number, since it is larger than the sum of its proper divisors (9836928415521).

20100210001119 is a wasteful number, since it uses less digits than its factorization.

20100210001119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128500 (or 128497 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 20100210001119 in words is "twenty trillion, one hundred billion, two hundred ten million, one thousand, one hundred nineteen".

Divisors: 1 3 9 47 107 141 321 423 963 3559 5029 10677 15087 32031 45261 124781 167273 374343 380813 501819 1123029 1142439 1505457 3427317 5864707 13351567 17594121 17898211 40054701 52782363 53694633 120164103 161083899 444095579 627523649 1332286737 1882570947 3996860211 5647712841 20872492213 47518226953 62617476639 142554680859 187852429917 427664042577 2233356666791 6700070000373 20100210001119