Search a number
-
+
10102022200 = 2352172971183
BaseRepresentation
bin10010110100010000…
…01010000000111000
3222002000201220021101
421122020022000320
5131142104202300
64350225221144
7505223525524
oct113210120070
928060656241
1010102022200
114314367886
121b5b1917b4
13c4cb8b53a
146bb91cd84
153e1d11b6a
hex25a20a038

10102022200 has 48 divisors (see below), whose sum is σ = 24868810080. Its totient is φ = 3803112960.

The previous prime is 10102022179. The next prime is 10102022219. The reversal of 10102022200 is 222020101.

It is a super-3 number, since 3×101020222003 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482192 + ... + 1488991.

It is an arithmetic number, because the mean of its divisors is an integer number (518100210).

Almost surely, 210102022200 is an apocalyptic number.

10102022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102022200 is an abundant number, since it is smaller than the sum of its proper divisors (14766787880).

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

10102022200 is a wasteful number, since it uses less digits than its factorization.

10102022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971216 (or 2971207 counting only the distinct ones).

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

Adding to 10102022200 its reverse (222020101), we get a palindrome (10324042301).

The spelling of 10102022200 in words is "ten billion, one hundred two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 2971183 5942366 11884732 14855915 23769464 29711830 50510111 59423660 74279575 101020222 118847320 148559150 202040444 252550555 297118300 404080888 505101110 594236600 1010202220 1262752775 2020404440 2525505550 5051011100 10102022200