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2131040219 = 7111711314407
BaseRepresentation
bin111111100000101…
…0001011111011011
312111111221001121112
41333001101133123
513331021241334
6551243330535
7103544354150
oct17701213733
95444831545
102131040219
119a3a0a070
124b5820a4b
1327c668459
1416304a227
15c71494ce
hex7f0517db

2131040219 has 32 divisors (see below), whose sum is σ = 2838260736. Its totient is φ = 1548933120.

The previous prime is 2131040179. The next prime is 2131040251. The reversal of 2131040219 is 9120401312.

It is not a de Polignac number, because 2131040219 - 216 = 2130974683 is a prime.

It is a super-2 number, since 2×21310402192 = 9082664829991135922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2131040194 and 2131040203.

It is not an unprimeable number, because it can be changed into a prime (2131040269) 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 31 ways as a sum of consecutive naturals, for example, 140714 + ... + 155120.

It is an arithmetic number, because the mean of its divisors is an integer number (88695648).

Almost surely, 22131040219 is an apocalyptic number.

2131040219 is a deficient number, since it is larger than the sum of its proper divisors (707220517).

2131040219 is a wasteful number, since it uses less digits than its factorization.

2131040219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2131040219 is about 46163.1911700220. The cubic root of 2131040219 is about 1286.8577687894.

The spelling of 2131040219 in words is "two billion, one hundred thirty-one million, forty thousand, two hundred nineteen".

Divisors: 1 7 11 17 77 113 119 187 791 1243 1309 1921 8701 13447 14407 21131 100849 147917 158477 244919 1109339 1627991 1714433 2694109 11395937 17907901 18858763 27675847 125355307 193730929 304434317 2131040219