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2101340131 = 1117195311159
BaseRepresentation
bin111110100111111…
…1110011111100011
312102110001010202021
41331033332133203
513300420341011
6544303002311
7103034045032
oct17517763743
95373033667
102101340131
11989173a40
124a7899397
13276469b37
1415d118719
15c472e471
hex7d3fe7e3

2101340131 has 32 divisors (see below), whose sum is σ = 2603404800. Its totient is φ = 1671022080.

The previous prime is 2101340117. The next prime is 2101340141. The reversal of 2101340131 is 1310431012.

It is a cyclic number.

It is not a de Polignac number, because 2101340131 - 215 = 2101307363 is a prime.

It is a super-2 number, since 2×21013401312 = 8831260692302194322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101340141) 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 31 ways as a sum of consecutive naturals, for example, 182730 + ... + 193888.

It is an arithmetic number, because the mean of its divisors is an integer number (81356400).

Almost surely, 22101340131 is an apocalyptic number.

2101340131 is a deficient number, since it is larger than the sum of its proper divisors (502064669).

2101340131 is a wasteful number, since it uses less digits than its factorization.

2101340131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259.

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

The square root of 2101340131 is about 45840.3766454858. The cubic root of 2101340131 is about 1280.8515108462.

Adding to 2101340131 its reverse (1310431012), we get a palindrome (3411771143).

The spelling of 2101340131 in words is "two billion, one hundred one million, three hundred forty thousand, one hundred thirty-one".

Divisors: 1 11 17 19 53 187 209 323 583 901 1007 3553 9911 11077 11159 17119 122749 188309 189703 212021 591427 2086733 2332231 3604357 6505697 10054259 11237113 39647927 110596849 123608243 191030921 2101340131