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220212131000211 = 32741227375570071
BaseRepresentation
bin110010000100100000100001…
…110101111110111110010011
31001212201002000000222220120200
4302010200201311332332103
5212330423421014001321
62100204020103110243
764245541615155120
oct6204404165767623
91055632000886520
10220212131000211
1164191493038599
1220846705142383
1395b4bb7c023cc
143c54477121747
151a6d352394d26
hexc84821d7ef93

220212131000211 has 48 divisors (see below), whose sum is σ = 374031736985088. Its totient is φ = 122225523580800.

The previous prime is 220212131000137. The next prime is 220212131000231. The reversal of 220212131000211 is 112000131212022.

220212131000211 is a `hidden beast` number, since 2 + 20 + 2 + 121 + 310 + 0 + 0 + 211 = 666.

220212131000211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220212131000211 - 223 = 220212122611603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220212131000231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187198695 + ... + 188371376.

It is an arithmetic number, because the mean of its divisors is an integer number (7792327853856).

Almost surely, 2220212131000211 is an apocalyptic number.

220212131000211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220212131000211 is a deficient number, since it is larger than the sum of its proper divisors (153819605984877).

220212131000211 is a wasteful number, since it uses less digits than its factorization.

220212131000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375570352 (or 375570349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 220212131000211 its reverse (112000131212022), we get a palindrome (332212262212233).

The spelling of 220212131000211 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred thirty-one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 41 63 123 227 287 369 681 861 1589 2043 2583 4767 9307 14301 27921 65149 83763 195447 586341 375570071 1126710213 2628990497 3380130639 7886971491 15398372911 23660914473 46195118733 85254406117 107788610377 138585356199 255763218351 323365831131 596780842819 767289655053 970097493393 1790342528457 3495430650797 5371027585371 10486291952391 24468014555579 31458875857173 73404043666737 220212131000211