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212351511120342 = 2311131229107251813
BaseRepresentation
bin110000010010000111110000…
…011000110100100111010110
31000211212121100220220020010220
4300102013300120310213112
5210313131343321322332
62031344534254455210
762504614255500126
oct6022076030644726
91024777326806126
10212351511120342
1161730852042590
121b99718b504506
13916487a633b19
143a61c21a30c86
151983b3ba07d2c
hexc121f06349d6

212351511120342 has 64 divisors (see below), whose sum is σ = 468887770517760. Its totient is φ = 63578874153600.

The previous prime is 212351511120283. The next prime is 212351511120361. The reversal of 212351511120342 is 243021115153212.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 51645973 + ... + 55605840.

It is an arithmetic number, because the mean of its divisors is an integer number (7326371414340).

Almost surely, 2212351511120342 is an apocalyptic number.

212351511120342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212351511120342 is an abundant number, since it is smaller than the sum of its proper divisors (256536259397418).

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

212351511120342 is a wasteful number, since it uses less digits than its factorization.

212351511120342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107252189.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 212351511120342 its reverse (243021115153212), we get a palindrome (455372626273554).

The spelling of 212351511120342 in words is "two hundred twelve trillion, three hundred fifty-one billion, five hundred eleven million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 131 229 262 393 458 687 786 1374 1441 2519 2882 4323 5038 7557 8646 15114 29999 59998 89997 179994 329989 659978 989967 1979934 107251813 214503626 321755439 643510878 1179769943 2359539886 3539309829 7078619658 14049987503 24560665177 28099975006 42149962509 49121330354 73681995531 84299925018 147363991062 154549862533 270167316947 309099725066 463649587599 540334633894 810501950841 927299175198 1621003901682 3217447138187 6434894276374 9652341414561 19304682829122 35391918520057 70783837040114 106175755560171 212351511120342