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5704342212100 = 22527311321719889
BaseRepresentation
bin101001100000010010101…
…0010101000111000000100
3202012022220102020202100111
41103000211102220320010
51221424443101241400
620044312202322404
71126060626532150
oct123004522507004
922168812222314
105704342212100
1118aa21a5153a4
127816587b9404
13324bc001007c
1415a13d642060
159d5b2aea3ba
hex530254a8e04

5704342212100 has 144 divisors (see below), whose sum is σ = 14604955223040. Its totient is φ = 1892446617600.

The previous prime is 5704342212083. The next prime is 5704342212157. The reversal of 5704342212100 is 12122434075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 286798956 + ... + 286818844.

It is an arithmetic number, because the mean of its divisors is an integer number (101423300160).

Almost surely, 25704342212100 is an apocalyptic number.

5704342212100 is a gapful number since it is divisible by the number (50) 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 5704342212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302477611520).

5704342212100 is an abundant number, since it is smaller than the sum of its proper divisors (8900613010940).

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

5704342212100 is a wasteful number, since it uses less digits than its factorization.

5704342212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33158 (or 33151 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 5704342212100 its reverse (12122434075), we get a palindrome (5716464646175).

The spelling of 5704342212100 in words is "five trillion, seven hundred four billion, three hundred forty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10850 13217 19889 21700 26434 39778 52868 66085 79556 92519 99445 132170 139223 185038 198890 264340 278446 330425 370076 397780 409727 462595 497225 556892 616559 660850 696115 819454 925190 994450 1233118 1321700 1392230 1638908 1850380 1988900 2048635 2312975 2466236 2784460 2868089 3082795 3480575 4097270 4315913 4625950 5736178 6165590 6961150 8194540 8631826 9251900 10243175 11472356 12331180 13922300 14340445 15413975 17263652 20486350 21579565 28680890 30827950 40972700 43159130 57361780 61655900 71702225 86318260 107897825 143404450 215795650 262872913 286808900 431591300 525745826 1051491652 1314364565 1840110391 2628729130 3680220782 5257458260 6571822825 7360441564 8149060303 9200551955 13143645650 16298120606 18401103910 26287291300 32596241212 36802207820 40745301515 46002759775 57043422121 81490603030 92005519550 114086844242 162981206060 184011039100 203726507575 228173688484 285217110605 407453015150 570434221210 814906030300 1140868442420 1426085553025 2852171106050 5704342212100