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2054273100 = 22352115091223
BaseRepresentation
bin111101001110001…
…1011100001001100
312022011110212220220
41322130123201030
513201343214400
6535502111340
7101623014255
oct17234334114
95264425826
102054273100
11964646870
12493b7b550
1326979a719
14156b85b2c
15c05337a0
hex7a71b84c

2054273100 has 144 divisors (see below), whose sum is σ = 6502083840. Its totient is φ = 496620800.

The previous prime is 2054273093. The next prime is 2054273113. The reversal of 2054273100 is 13724502.

2054273100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20542731002 = 8440075938767220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679089 + ... + 1680311.

It is an arithmetic number, because the mean of its divisors is an integer number (45153360).

Almost surely, 22054273100 is an apocalyptic number.

2054273100 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 2054273100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251041920).

2054273100 is an abundant number, since it is smaller than the sum of its proper divisors (4447810740).

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

2054273100 is a wasteful number, since it uses less digits than its factorization.

2054273100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2054273100 is about 45324.0896213040. The cubic root of 2054273100 is about 1271.2161248610.

Adding to 2054273100 its reverse (13724502), we get a palindrome (2067997602).

The spelling of 2054273100 in words is "two billion, fifty-four million, two hundred seventy-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 509 550 660 825 1018 1100 1223 1527 1650 2036 2446 2545 3054 3300 3669 4892 5090 5599 6108 6115 7338 7635 10180 11198 12230 12725 13453 14676 15270 16797 18345 22396 24460 25450 26906 27995 30540 30575 33594 36690 38175 40359 50900 53812 55990 61150 67188 67265 73380 76350 80718 83985 91725 111980 122300 134530 139975 152700 161436 167970 183450 201795 269060 279950 335940 336325 366900 403590 419925 559900 622507 672650 807180 839850 1008975 1245014 1345300 1679700 1867521 2017950 2490028 3112535 3735042 4035900 6225070 6847577 7470084 9337605 12450140 13695154 15562675 18675210 20542731 27390308 31125350 34237885 37350420 41085462 46688025 62250700 68475770 82170924 93376050 102713655 136951540 171189425 186752100 205427310 342378850 410854620 513568275 684757700 1027136550 2054273100