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21103222100 = 22521931358289
BaseRepresentation
bin10011101001110110…
…011001110101010100
32000110201102202110112
4103221312121311110
5321204411101400
613410015142152
71344646266602
oct235166316524
960421382415
1021103222100
118a4a245124
12410b514958
131cb411608c
141042a22872
15837a3b835
hex4e9d99d54

21103222100 has 72 divisors (see below), whose sum is σ = 49759315200. Its totient is φ = 7739020800.

The previous prime is 21103222097. The next prime is 21103222103. The reversal of 21103222100 is 122230112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21103222097) and next prime (21103222103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21103222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120245 + ... + 238044.

It is an arithmetic number, because the mean of its divisors is an integer number (691101600).

Almost surely, 221103222100 is an apocalyptic number.

21103222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21103222100 is an abundant number, since it is smaller than the sum of its proper divisors (28656093100).

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

21103222100 is a wasteful number, since it uses less digits than its factorization.

21103222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358353 (or 358346 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21103222100 its reverse (122230112), we get a palindrome (21225452212).

The spelling of 21103222100 in words is "twenty-one billion, one hundred three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 775 950 1178 1550 1900 2356 2945 3100 5890 11780 14725 29450 58900 358289 716578 1433156 1791445 3582890 6807491 7165780 8957225 11106959 13614982 17914450 22213918 27229964 34037455 35828900 44427836 55534795 68074910 111069590 136149820 170187275 211032221 222139180 277673975 340374550 422064442 555347950 680749100 844128884 1055161105 1110695900 2110322210 4220644420 5275805525 10551611050 21103222100