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10020220100 = 22521110190191
BaseRepresentation
bin10010101010100000…
…00110110011000100
3221212022210220212222
421111100012303010
5131010134020400
64334144031512
7503211315452
oct112520066304
927768726788
1010020220100
114282175740
121b37902598
13c38c49b27
146b0b079d2
153d9a54185
hex255406cc4

10020220100 has 72 divisors (see below), whose sum is σ = 23955716736. Its totient is φ = 3607600000.

The previous prime is 10020220081. The next prime is 10020220129. The reversal of 10020220100 is 102202001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66005 + ... + 156195.

It is an arithmetic number, because the mean of its divisors is an integer number (332718288).

Almost surely, 210020220100 is an apocalyptic number.

10020220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977858368).

10020220100 is an abundant number, since it is smaller than the sum of its proper divisors (13935496636).

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

10020220100 is a wasteful number, since it uses less digits than its factorization.

10020220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90317 (or 90310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10020220100 its reverse (102202001), we get a palindrome (10122422101).

The spelling of 10020220100 in words is "ten billion, twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 90191 111100 180382 360764 450955 901910 992101 1803820 1984202 2254775 3968404 4509550 4960505 9019100 9109291 9921010 18218582 19842020 24802525 36437164 45546455 49605050 91092910 99210100 100202201 182185820 200404402 227732275 400808804 455464550 501011005 910929100 1002022010 2004044020 2505055025 5010110050 10020220100