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211204343000 = 2353731699521
BaseRepresentation
bin1100010010110011000…
…0101000010011011000
3202012011012020021122002
43010230300220103120
511430021302434000
6241005334020132
721154561203020
oct3045460502330
9665135207562
10211204343000
1181631388a02
1234b23aa7648
1316bbb691831
14a318184a80
155761e298d5
hex312cc284d8

211204343000 has 128 divisors (see below), whose sum is σ = 565058332800. Its totient is φ = 72382464000.

The previous prime is 211204342967. The next prime is 211204343023. The reversal of 211204343000 is 343402112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22178240 + ... + 22187760.

It is an arithmetic number, because the mean of its divisors is an integer number (4414518225).

Almost surely, 2211204343000 is an apocalyptic number.

211204343000 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 211204343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282529166400).

211204343000 is an abundant number, since it is smaller than the sum of its proper divisors (353853989800).

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

211204343000 is a wasteful number, since it uses less digits than its factorization.

211204343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718 (or 12704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211204343000 its reverse (343402112), we get a palindrome (211547745112).

The spelling of 211204343000 in words is "two hundred eleven billion, two hundred four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3169 3500 6338 7000 9521 12676 15845 19042 22183 25352 31690 38084 44366 47605 63380 66647 76168 79225 88732 95210 110915 126760 133294 158450 177464 190420 221830 238025 266588 316900 333235 380840 396125 443660 476050 533176 554575 633800 666470 792250 887320 952100 1109150 1190125 1332940 1584500 1666175 1904200 2218300 2380250 2665880 2772875 3169000 3332350 4436600 4760500 5545750 6664700 8330875 9521000 11091500 13329400 16661750 22183000 30172049 33323500 60344098 66647000 120688196 150860245 211204343 241376392 301720490 422408686 603440980 754301225 844817372 1056021715 1206881960 1508602450 1689634744 2112043430 3017204900 3771506125 4224086860 5280108575 6034409800 7543012250 8448173720 10560217150 15086024500 21120434300 26400542875 30172049000 42240868600 52801085750 105602171500 211204343000