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1002001119 = 371915116631
BaseRepresentation
bin111011101110010…
…101001011011111
32120211102221010120
4323232111023133
54023003013434
6243232210023
733554604030
oct7356251337
92524387116
101002001119
114746702a9
1223b699913
1312c78ac92
149710ca87
155ce79349
hex3bb952df

1002001119 has 32 divisors (see below), whose sum is σ = 1617960960. Its totient is φ = 538812000.

The previous prime is 1002001087. The next prime is 1002001123. The reversal of 1002001119 is 9111002001.

It is not a de Polignac number, because 1002001119 - 25 = 1002001087 is a prime.

It is a super-2 number, since 2×10020011192 = 2008012484954504322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002001098 and 1002001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51934 + ... + 68564.

It is an arithmetic number, because the mean of its divisors is an integer number (50561280).

Almost surely, 21002001119 is an apocalyptic number.

1002001119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1002001119 is a deficient number, since it is larger than the sum of its proper divisors (615959841).

1002001119 is a wasteful number, since it uses less digits than its factorization.

1002001119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16811.

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 1002001119 is about 31654.4012579610. The cubic root of 1002001119 is about 1000.6665952187. Note that the first 3 decimals are identical.

The spelling of 1002001119 in words is "one billion, two million, one thousand, one hundred nineteen".

Divisors: 1 3 7 19 21 57 133 151 399 453 1057 2869 3171 8607 16631 20083 49893 60249 116417 315989 349251 947967 2211923 2511281 6635769 7533843 17578967 47714339 52736901 143143017 334000373 1002001119