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220212202000021 = 72116117417384547
BaseRepresentation
bin110010000100100000100110…
…000100110100111010010101
31001212201002011222121002000021
4302010200212010310322111
5212330424042203000041
62100204031120545141
764245543436514500
oct6204404604647225
91055632158532007
10220212202000021
116419151a121820
1220846724a821b1
1395b4bc983102a
143c54482724137
151a6d35871bcd1
hexc84826134e95

220212202000021 has 48 divisors (see below), whose sum is σ = 284051203970112. Its totient is φ = 168770779027200.

The previous prime is 220212201999887. The next prime is 220212202000027. The reversal of 220212202000021 is 120000202212022.

It is not a de Polignac number, because 220212202000021 - 235 = 220177842261653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220212201999959 and 220212202000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212202000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572461270 + ... + 572845816.

It is an arithmetic number, because the mean of its divisors is an integer number (5917733416044).

Almost surely, 2220212202000021 is an apocalyptic number.

It is an amenable number.

220212202000021 is a deficient number, since it is larger than the sum of its proper divisors (63839001970091).

220212202000021 is a wasteful number, since it uses less digits than its factorization.

220212202000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402050 (or 402043 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220212202000021 its reverse (120000202212022), we get a palindrome (340212404212043).

The spelling of 220212202000021 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred two million, twenty-one", and thus it is an aban number.

Divisors: 1 7 11 49 61 77 427 539 671 2989 4697 17417 32879 121919 191587 384547 853433 1062437 1341109 2691829 4230017 7437059 9387763 11686807 18842803 23457367 29610119 52059413 81807649 164201569 207270833 258031037 572653543 1149410983 1806217259 6697655099 12643520813 46883585693 73674206089 328185099851 408556961039 515719442623 2859898727273 3610036098361 4494126571429 20019291090911 31458886000003 220212202000021