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10100000002212 = 2234991155920177
BaseRepresentation
bin1001001011111001011011…
…1010011001000010100100
31022202112212100212201010000
42102332112322121002210
52310434300000032322
633251513112101300
72061462262342251
oct222762672310244
938675770781100
1010100000002212
11324442777084a
121171545694830
1358356c968c73
1426cbb2190428
15127ace17d3ac
hex92f96e990a4

10100000002212 has 120 divisors (see below), whose sum is σ = 26448302200320. Its totient is φ = 3360945519360.

The previous prime is 10100000002207. The next prime is 10100000002223. The reversal of 10100000002212 is 21220000000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100000002194 and 10100000002203.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 500559868 + ... + 500580044.

It is an arithmetic number, because the mean of its divisors is an integer number (220402518336).

Almost surely, 210100000002212 is an apocalyptic number.

10100000002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100000002212 is an abundant number, since it is smaller than the sum of its proper divisors (16348302198108).

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

10100000002212 is a wasteful number, since it uses less digits than its factorization.

10100000002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22743 (or 22732 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100000002212 its reverse (21220000000101), we get a palindrome (31320000002313).

The spelling of 10100000002212 in words is "ten trillion, one hundred billion, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 991 1559 1982 2973 3118 3964 4677 5946 6236 8919 9354 11892 14031 17838 18708 20177 26757 28062 35676 40354 42093 53514 56124 60531 80271 80708 84186 107028 121062 126279 160542 168372 181593 242124 252558 321084 363186 505116 544779 726372 1089558 1544969 1634337 2179116 3089938 3268674 4634907 6179876 6537348 9269814 13904721 18539628 19995407 27809442 31455943 39990814 41714163 55618884 59986221 62911886 79981628 83428326 94367829 119972442 125142489 125823772 166856652 179958663 188735658 239944884 250284978 283103487 359917326 377471316 500569956 539875989 566206974 719834652 849310461 1079751978 1132413948 1619627967 1698620922 2159503956 2547931383 3239255934 3397241844 5095862766 6478511868 10191725532 31172839513 62345679026 93518518539 124691358052 187037037078 280555555617 374074074156 561111111234 841666666851 1122222222468 1683333333702 2525000000553 3366666667404 5050000001106 10100000002212