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300101002212 = 2231126727111383
BaseRepresentation
bin1000101110111110110…
…10011110001111100100
31001200121112222110201210
410113133122132033210
514404101324032322
6345510421551420
730452532300414
oct4273732361744
91050545873653
10300101002212
111062aa212800
124a1b3275570
13223b7a3362b
141074c714644
157c164b070c
hex45df69e3e4

300101002212 has 144 divisors (see below), whose sum is σ = 784119719936. Its totient is φ = 89243985600.

The previous prime is 300101002133. The next prime is 300101002217. The reversal of 300101002212 is 212200101003.

It is a super-4 number, since 4×3001010022124 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (300101002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26358273 + ... + 26369655.

Almost surely, 2300101002212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300101002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392059859968).

300101002212 is an abundant number, since it is smaller than the sum of its proper divisors (484018717724).

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

300101002212 is a wasteful number, since it uses less digits than its factorization.

300101002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 300101002212 its reverse (212200101003), we get a palindrome (512301103215).

The spelling of 300101002212 in words is "three hundred billion, one hundred one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 121 132 134 201 242 268 271 363 402 484 542 726 737 804 813 1084 1452 1474 1626 2211 2948 2981 3252 4422 5962 8107 8844 8943 11383 11924 16214 17886 18157 22766 24321 32428 32791 34149 35772 36314 45532 48642 54471 65582 68298 72628 97284 98373 108942 125213 131164 136596 196746 199727 217884 250426 375639 393492 399454 500852 599181 751278 762661 798908 1198362 1377343 1502556 1525322 2196997 2287983 2396724 2754686 3050644 3084793 4132029 4393994 4575966 5509372 6169586 6590991 8264058 8389271 8787988 9151932 9254379 12339172 13181982 16528116 16778542 18508758 25167813 26363964 33557084 33932723 37017516 50335626 67865446 92281981 100671252 101798169 135730892 184563962 203596338 206681131 276845943 369127924 373259953 407192676 413362262 553691886 620043393 746519906 826724524 1107383772 1119779859 1240086786 1493039812 2239559718 2273492441 2480173572 4479119436 4546984882 6820477323 9093969764 13640954646 25008416851 27281909292 50016833702 75025250553 100033667404 150050501106 300101002212