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212100233000 = 23533161112163
BaseRepresentation
bin1100010110001000101…
…0001011011100101000
3202021110122000012200012
43011202022023130220
511433340124424000
6241234300031052
721216020143145
oct3054212133450
9667418005605
10212100233000
1181a51063367
1235133b32488
1317002179566
14a3a11513cc
1557b58e3735
hex316228b728

212100233000 has 128 divisors (see below), whose sum is σ = 520728099840. Its totient is φ = 80756640000.

The previous prime is 212100232999. The next prime is 212100233011. The reversal of 212100233000 is 332001212.

It is a happy 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, 1834919 + ... + 1947081.

It is an arithmetic number, because the mean of its divisors is an integer number (4068188280).

Almost surely, 2212100233000 is an apocalyptic number.

212100233000 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 212100233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260364049920).

212100233000 is an abundant number, since it is smaller than the sum of its proper divisors (308627866840).

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

212100233000 is a wasteful number, since it uses less digits than its factorization.

212100233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112276 (or 112262 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 212100233000 its reverse (332001212), we get a palindrome (212432234212).

The spelling of 212100233000 in words is "two hundred twelve billion, one hundred million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 125 155 200 244 248 250 305 310 488 500 610 620 775 1000 1220 1240 1525 1550 1891 2440 3050 3100 3782 3875 6100 6200 7564 7625 7750 9455 12200 15128 15250 15500 18910 30500 31000 37820 47275 61000 75640 94550 112163 189100 224326 236375 378200 448652 472750 560815 897304 945500 1121630 1891000 2243260 2804075 3477053 4486520 5608150 6841943 6954106 11216300 13683886 13908212 14020375 17385265 22432600 27367772 27816424 28040750 34209715 34770530 54735544 56081500 68419430 69541060 86926325 112163000 136838860 139082120 171048575 173852650 212100233 273677720 342097150 347705300 424200466 434631625 684194300 695410600 848400932 855242875 869263250 1060501165 1368388600 1696801864 1710485750 1738526500 2121002330 3420971500 3477053000 4242004660 5302505825 6841943000 8484009320 10605011650 21210023300 26512529125 42420046600 53025058250 106050116500 212100233000