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210222000100 = 22527242902449
BaseRepresentation
bin1100001111001000110…
…1010010011111100100
3202002121201210002111201
43003302031102133210
511421013313000400
6240324043012244
721121332342400
oct3036215223744
9662551702451
10210222000100
1181177925172
12348aab0a084
1316a92cc7548
14a263912100
155705a8506a
hex30f23527e4

210222000100 has 54 divisors (see below), whose sum is σ = 530660404050. Its totient is φ = 72076112640.

The previous prime is 210222000091. The next prime is 210222000113. The reversal of 210222000100 is 1000222012.

210222000100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 140944384 + 210081055716 = 11872^2 + 458346^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 21446325 + ... + 21456124.

Almost surely, 2210222000100 is an apocalyptic number.

210222000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210222000100 is an abundant number, since it is smaller than the sum of its proper divisors (320438403950).

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

210222000100 is a wasteful number, since it uses less digits than its factorization.

210222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42902477 (or 42902463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210222000100 its reverse (1000222012), we get a palindrome (211222222112).

The spelling of 210222000100 in words is "two hundred ten billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 42902449 85804898 171609796 214512245 300317143 429024490 600634286 858048980 1072561225 1201268572 1501585715 2102220001 2145122450 3003171430 4204440002 4290244900 6006342860 7507928575 8408880004 10511100005 15015857150 21022200010 30031714300 42044400020 52555500025 105111000050 210222000100