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212035492600 = 23523164153353
BaseRepresentation
bin1100010101111001001…
…1001101101011111000
3202021022010012001112121
43011132103031223320
511433222041230400
6241224024251024
721214302643501
oct3053623155370
9667263161477
10212035492600
1181a185649a8
1235116310a74
1316cc192ca29
14a3966dbba8
1557aeda621a
hex315e4cdaf8

212035492600 has 96 divisors (see below), whose sum is σ = 509688627840. Its totient is φ = 81948672000.

The previous prime is 212035492549. The next prime is 212035492637. The reversal of 212035492600 is 6294530212.

212035492600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3947524 + ... + 4000876.

It is an arithmetic number, because the mean of its divisors is an integer number (5309256540).

Almost surely, 2212035492600 is an apocalyptic number.

212035492600 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 212035492600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254844313920).

212035492600 is an abundant number, since it is smaller than the sum of its proper divisors (297653135240).

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

212035492600 is a wasteful number, since it uses less digits than its factorization.

212035492600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54041 (or 54032 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 212035492600 in words is "two hundred twelve billion, thirty-five million, four hundred ninety-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 641 775 1240 1282 1550 2564 3100 3205 5128 6200 6410 12820 16025 19871 25640 32050 39742 53353 64100 79484 99355 106706 128200 158968 198710 213412 266765 397420 426824 496775 533530 794840 993550 1067060 1333825 1653943 1987100 2134120 2667650 3307886 3974200 5335300 6615772 8269715 10670600 13231544 16539430 33078860 34199273 41348575 66157720 68398546 82697150 136797092 165394300 170996365 273594184 330788600 341992730 683985460 854981825 1060177463 1367970920 1709963650 2120354926 3419927300 4240709852 5300887315 6839854600 8481419704 10601774630 21203549260 26504436575 42407098520 53008873150 106017746300 212035492600