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212003443400 = 23527499303469
BaseRepresentation
bin1100010101110001100…
…0111101001011001000
3202021012212212210022012
43011130120331023020
511433140340142100
6241220521315052
721213433351550
oct3053430751310
9667185783265
10212003443400
1181a01464961
1235107635a88
1316cb80bb0c8
14a392358160
1557ac175135
hex315c63d2c8

212003443400 has 96 divisors (see below), whose sum is σ = 564454200000. Its totient is φ = 72540990720.

The previous prime is 212003443369. The next prime is 212003443427. The reversal of 212003443400 is 4344300212.

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, 546866 + ... + 850334.

It is an arithmetic number, because the mean of its divisors is an integer number (5879731250).

Almost surely, 2212003443400 is an apocalyptic number.

212003443400 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 212003443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282227100000).

212003443400 is an abundant number, since it is smaller than the sum of its proper divisors (352450756600).

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

212003443400 is a wasteful number, since it uses less digits than its factorization.

212003443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303991 (or 303982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 212003443400 its reverse (4344300212), we get a palindrome (216347743612).

The spelling of 212003443400 in words is "two hundred twelve billion, three million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 499 700 998 1400 1996 2495 3493 3992 4990 6986 9980 12475 13972 17465 19960 24950 27944 34930 49900 69860 87325 99800 139720 174650 303469 349300 606938 698600 1213876 1517345 2124283 2427752 3034690 4248566 6069380 7586725 8497132 10621415 12138760 15173450 16994264 21242830 30346900 42485660 53107075 60693800 84971320 106214150 151431031 212428300 302862062 424856600 605724124 757155155 1060017217 1211448248 1514310310 2120034434 3028620620 3785775775 4240068868 5300086085 6057241240 7571551550 8480137736 10600172170 15143103100 21200344340 26500430425 30286206200 42400688680 53000860850 106001721700 212003443400