Search a number
-
+
200101102222130 = 25172314994475993
BaseRepresentation
bin101101011111110110101011…
…000111011111101100110010
3222020111110220212022002022222
4231133312223013133230302
5202211424024132102010
61545325102145001042
760101553565112564
oct5537665307375462
9866443825262288
10200101102222130
115883844564122a
121a538b26323182
1387865b7249865
14375ad33201334
15182014ee4d355
hexb5fdab1dfb32

200101102222130 has 96 divisors (see below), whose sum is σ = 395749485504000. Its totient is φ = 72755996682240.

The previous prime is 200101102222117. The next prime is 200101102222139. The reversal of 200101102222130 is 31222201101002.

It is a super-2 number, since 2×2001011022221302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 200101102222099 and 200101102222108.

It is not an unprimeable number, because it can be changed into a prime (200101102222139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42467414 + ... + 46943406.

It is an arithmetic number, because the mean of its divisors is an integer number (4122390474000).

Almost surely, 2200101102222130 is an apocalyptic number.

200101102222130 is a deficient number, since it is larger than the sum of its proper divisors (195648383281870).

200101102222130 is a wasteful number, since it uses less digits than its factorization.

200101102222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476564 (or 4476547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 200101102222130 its reverse (31222201101002), we get a palindrome (231323303323132).

The spelling of 200101102222130 in words is "two hundred trillion, one hundred one billion, one hundred two million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 17 31 34 62 85 155 170 289 310 499 527 578 998 1054 1445 2495 2635 2890 4990 5270 8483 8959 15469 16966 17918 30938 42415 44795 77345 84830 89590 144211 154690 262973 288422 525946 721055 1314865 1442110 2629730 4470541 4475993 8941082 8951986 22352705 22379965 44705410 44759930 76091881 138755783 152183762 277511566 380459405 693778915 760918810 1293561977 1387557830 2233520507 2358848311 2587123954 4467041014 4717696622 6467809885 11167602535 11794241555 12935619770 22335205070 23588483110 37969848619 40100421287 69239135717 75939697238 80200842574 138478271434 189849243095 200502106435 346195678585 379698486190 401004212870 645487426523 692391357170 1177065307189 1290974853046 2354130614378 3227437132615 5885326535945 6454874265230 11770653071890 20010110222213 40020220444426 100050551111065 200101102222130