Search a number
-
+
212002111002 = 2311210112892243
BaseRepresentation
bin1100010101110001001…
…1110111111000011010
3202021012210101002121010
43011130103313320122
511433140020023002
6241220432554350
721213416132163
oct3053423677032
9667183332533
10212002111002
1181a00734900
12351070b29b6
1316cb7a427c6
14a3920cc76a
1557abeb046c
hex315c4f7e1a

212002111002 has 96 divisors (see below), whose sum is σ = 471243769920. Its totient is φ = 63529312000.

The previous prime is 212002110997. The next prime is 212002111033. The reversal of 212002111002 is 200111200212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94516093 + ... + 94518335.

It is an arithmetic number, because the mean of its divisors is an integer number (4908789270).

Almost surely, 2212002111002 is an apocalyptic number.

212002111002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212002111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235621884960).

212002111002 is an abundant number, since it is smaller than the sum of its proper divisors (259241658918).

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

212002111002 is a wasteful number, since it uses less digits than its factorization.

212002111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212002111002 its reverse (200111200212), we get a palindrome (412113311214).

The spelling of 212002111002 in words is "two hundred twelve billion, two million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 1289 2222 2243 2578 3333 3867 4486 6666 6729 7734 12221 13458 14179 24442 24673 28358 36663 42537 49346 73326 74019 85074 130189 148038 155969 226543 260378 271403 311938 390567 453086 467907 542806 679629 781134 814209 935814 1359258 1432079 1628418 2491973 2864158 2891227 4296237 4983946 5782454 7475919 8592474 8673681 14951838 15752869 17347362 27411703 31505738 31803497 47258607 54823406 63606994 82235109 94517214 95410491 164470218 190820982 292013927 349838467 584027854 699676934 876041781 1049515401 1752083562 2099030802 3212153197 6424306394 9636459591 19272919182 35333685167 70667370334 106001055501 212002111002