Search a number
-
+
1001010202122 = 237172902748299
BaseRepresentation
bin11101001000100001101…
…10111000011000001010
310112200210010022000021110
432210100312320120022
5112400032102431442
62043505134351150
7132214652220510
oct16442066703012
93480703260243
101001010202122
11356587187787
1214200435b4b6
1373519668588
143664068c4b0
151b08a2b069c
hexe910db860a

1001010202122 has 64 divisors (see below), whose sum is σ = 2422746547200. Its totient is φ = 269164367616.

The previous prime is 1001010202109. The next prime is 1001010202141. The reversal of 1001010202122 is 2212020101001.

It is a junction number, because it is equal to n+sod(n) for n = 1001010202098 and 1001010202107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20701129 + ... + 20749427.

It is an arithmetic number, because the mean of its divisors is an integer number (37855414800).

Almost surely, 21001010202122 is an apocalyptic number.

1001010202122 is an abundant number, since it is smaller than the sum of its proper divisors (1421736345078).

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

1001010202122 is a wasteful number, since it uses less digits than its factorization.

1001010202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77355.

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

Adding to 1001010202122 its reverse (2212020101001), we get a palindrome (3213030303123).

The spelling of 1001010202122 in words is "one trillion, one billion, ten million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 29027 48299 58054 87081 96598 144897 174162 203189 289794 338093 406378 493459 609567 676186 821083 986918 1014279 1219134 1480377 1642166 2028558 2463249 2960754 3454213 4926498 5747581 6908426 10362639 11495162 17242743 20725278 34485486 1401975073 2803950146 4205925219 8411850438 9813825511 19627651022 23833576241 29441476533 47667152482 58882953066 71500728723 143001457446 166835033687 333670067374 500505101061 1001010202122