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2045111320 = 235729251861
BaseRepresentation
bin111100111100101…
…1110110000011000
312021112020102022201
41321321132300120
513142022030240
6534533455544
7101452105450
oct17171366030
95245212281
102045111320
1195a45944a
12490aa15b4
13267910555
1415587cd60
15be823d9a
hex79e5ec18

2045111320 has 64 divisors (see below), whose sum is σ = 5440219200. Its totient is φ = 676999680.

The previous prime is 2045111311. The next prime is 2045111389. The reversal of 2045111320 is 231115402.

It is a super-2 number, since 2×20451113202 = 8364960622384284800, which contains 22 as substring.

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, 117811 + ... + 134050.

It is an arithmetic number, because the mean of its divisors is an integer number (85003425).

Almost surely, 22045111320 is an apocalyptic number.

2045111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045111320 is an abundant number, since it is smaller than the sum of its proper divisors (3395107880).

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

2045111320 is a wasteful number, since it uses less digits than its factorization.

2045111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251908 (or 251904 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2045111320 is about 45222.9070273020. The cubic root of 2045111320 is about 1269.3234911462.

Adding to 2045111320 its reverse (231115402), we get a palindrome (2276226722).

The spelling of 2045111320 in words is "two billion, forty-five million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 251861 503722 1007444 1259305 1763027 2014888 2518610 3526054 5037220 7052108 7303969 8815135 10074440 14104216 14607938 17630270 29215876 35260540 36519845 51127783 58431752 70521080 73039690 102255566 146079380 204511132 255638915 292158760 409022264 511277830 1022555660 2045111320