Search a number
-
+
10100220100 = 2252472148983
BaseRepresentation
bin10010110100000010…
…10010000011000100
3222001220100100020221
421122001102003010
5131141124020400
64350122434124
7505202311555
oct113201220304
928056310227
1010100220100
114313346943
121b5a662944
13c4c6aa1c9
146bb5b032c
153e1aa7c1a
hex25a0520c4

10100220100 has 36 divisors (see below), whose sum is σ = 22383817344. Its totient is φ = 3954126880.

The previous prime is 10100220059. The next prime is 10100220131. The reversal of 10100220100 is 102200101.

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, 1069792 + ... + 1079191.

It is an arithmetic number, because the mean of its divisors is an integer number (621772704).

Almost surely, 210100220100 is an apocalyptic number.

10100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100220100 is an abundant number, since it is smaller than the sum of its proper divisors (12283597244).

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

10100220100 is a wasteful number, since it uses less digits than its factorization.

10100220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149044 (or 2149037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100220100 its reverse (102200101), we get a palindrome (10202420201).

The spelling of 10100220100 in words is "ten billion, one hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 2148983 4297966 8595932 10744915 21489830 42979660 53724575 101002201 107449150 202004402 214898300 404008804 505011005 1010022010 2020044020 2525055025 5050110050 10100220100