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2113031320 = 2351710932843
BaseRepresentation
bin111110111110010…
…0100110010011000
312110021001010001021
41331330210302120
513311414000240
6545401332224
7103235320111
oct17574446230
95407033037
102113031320
11994829784
124ab797074
13278a013ba
141608bd208
15c578d54a
hex7df24c98

2113031320 has 64 divisors (see below), whose sum is σ = 5040364320. Its totient is φ = 794486784.

The previous prime is 2113031317. The next prime is 2113031341. The reversal of 2113031320 is 231303112.

It is a junction number, because it is equal to n+sod(n) for n = 2113031294 and 2113031303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741819 + ... + 744661.

Almost surely, 22113031320 is an apocalyptic number.

2113031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520182160).

2113031320 is an abundant number, since it is smaller than the sum of its proper divisors (2927333000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113031320 is a wasteful number, since it uses less digits than its factorization.

2113031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2113031320 is about 45967.7204133509. The cubic root of 2113031320 is about 1283.2225360390. Note that the first 3 decimals are identical.

Adding to 2113031320 its reverse (231303112), we get a palindrome (2344334432).

The spelling of 2113031320 in words is "two billion, one hundred thirteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1093 2186 2843 4372 5465 5686 8744 10930 11372 14215 18581 21860 22744 28430 37162 43720 48331 56860 74324 92905 96662 113720 148648 185810 193324 241655 371620 386648 483310 743240 966620 1933240 3107399 6214798 12429596 15536995 24859192 31073990 52825783 62147980 105651566 124295960 211303132 264128915 422606264 528257830 1056515660 2113031320