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212311222000 = 24531031030637
BaseRepresentation
bin1100010110111010111…
…1000010011011110000
3202022000100000120011121
43011232233002123300
511434303133101000
6241311234152024
721224161416343
oct3055657023360
9668010016147
10212311222000
118204a171539
1235192722614
1317036ab0617
14a3c119445a
1557c91bdb1a
hex316ebc26f0

212311222000 has 80 divisors (see below), whose sum is σ = 518353198272. Its totient is φ = 84099897600.

The previous prime is 212311221973. The next prime is 212311222001. The reversal of 212311222000 is 222113212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212311222001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309319 + ... + 721318.

Almost surely, 2212311222000 is an apocalyptic number.

212311222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212311222000 is an abundant number, since it is smaller than the sum of its proper divisors (306041976272).

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

212311222000 is a wasteful number, since it uses less digits than its factorization.

212311222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030763 (or 1030747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212311222000 its reverse (222113212), we get a palindrome (212533335212).

The spelling of 212311222000 in words is "two hundred twelve billion, three hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 200 206 250 400 412 500 515 824 1000 1030 1648 2000 2060 2575 4120 5150 8240 10300 12875 20600 25750 41200 51500 103000 206000 1030637 2061274 4122548 5153185 8245096 10306370 16490192 20612740 25765925 41225480 51531850 82450960 103063700 106155611 128829625 206127400 212311222 257659250 412254800 424622444 515318500 530778055 849244888 1030637000 1061556110 1698489776 2061274000 2123112220 2653890275 4246224440 5307780550 8492448880 10615561100 13269451375 21231122200 26538902750 42462244400 53077805500 106155611000 212311222000