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22100101000100 = 2252221001010001
BaseRepresentation
bin1010000011001100101001…
…01010110110101110100100
32220020202020001000000221222
411001212110222312232210
510344042001324000400
6115000351330555512
74440452051004254
oct501462452665644
986222201000858
1022100101000100
117050666958882
12258b193138b98
13c4405225b5c6
1456591733d964
15284d1ad9e185
hex141994ab6ba4

22100101000100 has 18 divisors (see below), whose sum is σ = 47957219170434. Its totient is φ = 8840040400000.

The previous prime is 22100101000099. The next prime is 22100101000163. The reversal of 22100101000100 is 100010100122.

It can be written as a sum of positive squares in 3 ways, for example, as 132863166016 + 21967237834084 = 364504^2 + 4686922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110500504901 + ... + 110500505100.

It is an arithmetic number, because the mean of its divisors is an integer number (2664289953913).

Almost surely, 222100101000100 is an apocalyptic number.

22100101000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100101000100 is an abundant number, since it is smaller than the sum of its proper divisors (25857118170334).

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

22100101000100 is a wasteful number, since it uses less digits than its factorization.

22100101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221001010015 (or 221001010008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22100101000100 its reverse (100010100122), we get a palindrome (22200111100222).

The spelling of 22100101000100 in words is "twenty-two trillion, one hundred billion, one hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 221001010001 442002020002 884004040004 1105005050005 2210010100010 4420020200020 5525025250025 11050050500050 22100101000100