Search a number
-
+
100001010222111 = 3233721636494777
BaseRepresentation
bin10110101111001101001100…
…101100010000010000011111
3111010002000002100020010111110
4112233031030230100100133
5101101404032104101421
6552403455131153103
730030556153656225
oct2657151454202037
9433060070203443
10100001010222111
1129955210281a89
12b270a47ba5793
1343a5093521acb
141a9a109060b15
15b863c831ea76
hex5af34cb1041f

100001010222111 has 48 divisors (see below), whose sum is σ = 143871075258624. Its totient is φ = 61664624752896.

The previous prime is 100001010222101. The next prime is 100001010222143. The reversal of 100001010222111 is 111222010100001.

It is not a de Polignac number, because 100001010222111 - 211 = 100001010220063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010222101) 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, 12149755 + ... + 18644531.

It is an arithmetic number, because the mean of its divisors is an integer number (2997314067888).

Almost surely, 2100001010222111 is an apocalyptic number.

100001010222111 is a deficient number, since it is larger than the sum of its proper divisors (43870065036513).

100001010222111 is a wasteful number, since it uses less digits than its factorization.

100001010222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495040 (or 6495003 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100001010222111 its reverse (111222010100001), we get a palindrome (211223020322112).

The spelling of 100001010222111 in words is "one hundred trillion, one billion, ten million, two hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 23 37 69 111 163 489 851 1369 2553 3749 4107 6031 11247 18093 31487 94461 138713 223147 416139 669441 5132381 6494777 15397143 19484331 149379871 240306749 448139613 720920247 1058648651 3175945953 5527055227 8891349713 16581165681 24348918973 26674049139 39170000087 73046756919 117510000261 204501043399 613503130197 900910002001 1449290003219 2702730006003 4347870009657 33333670074037 100001010222111