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21101302100 = 2252211013021
BaseRepresentation
bin10011101001101111…
…000101000101010100
32000110120211012201102
4103221233011011110
5321203413131400
613405510045232
71344624052124
oct235157050524
960416735642
1021101302100
118a4915364a
12410a949818
131cb38c3198
141042682c84
158377ac9d5
hex4e9bc5154

21101302100 has 18 divisors (see below), whose sum is σ = 45789825774. Its totient is φ = 8440520800.

The previous prime is 21101302099. The next prime is 21101302121. The reversal of 21101302100 is 120310112.

It can be written as a sum of positive squares in 3 ways, for example, as 44970436 + 21056331664 = 6706^2 + 145108^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 105506411 + ... + 105506610.

Almost surely, 221101302100 is an apocalyptic number.

21101302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101302100 is an abundant number, since it is smaller than the sum of its proper divisors (24688523674).

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

21101302100 is a wasteful number, since it uses less digits than its factorization.

21101302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211013035 (or 211013028 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21101302100 its reverse (120310112), we get a palindrome (21221612212).

The spelling of 21101302100 in words is "twenty-one billion, one hundred one million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211013021 422026042 844052084 1055065105 2110130210 4220260420 5275325525 10550651050 21101302100