Search a number
-
+
22000202110100 = 2252487745110113
BaseRepresentation
bin1010000000010010100100…
…01110110101010010010100
32212220012100220121121120002
411000021102032311102110
510340422403220010400
6114442430415030432
74430314342313144
oct500112216652224
985805326547502
1022000202110100
117012262602165
12257395320b418
13c377c1690986
14560b5b8bc924
15282420987ed5
hex1402523b5494

22000202110100 has 36 divisors (see below), whose sum is σ = 47750228531964. Its totient is φ = 8798276244480.

The previous prime is 22000202110049. The next prime is 22000202110109. The reversal of 22000202110100 is 101120200022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 91773855364 + 21908428254736 = 302942^2 + 4680644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000202110109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22067357 + ... + 23042756.

It is an arithmetic number, because the mean of its divisors is an integer number (1326395236999).

Almost surely, 222000202110100 is an apocalyptic number.

22000202110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000202110100 is an abundant number, since it is smaller than the sum of its proper divisors (25750026421864).

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

22000202110100 is a wasteful number, since it uses less digits than its factorization.

22000202110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45115004 (or 45114997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22000202110100 its reverse (101120200022), we get a palindrome (22101322310122).

The spelling of 22000202110100 in words is "twenty-two trillion, two hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4877 9754 19508 24385 48770 97540 121925 243850 487700 45110113 90220226 180440452 225550565 451101130 902202260 1127752825 2255505650 4511011300 220002021101 440004042202 880008084404 1100010105505 2200020211010 4400040422020 5500050527525 11000101055050 22000202110100