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10100230020 = 2232556112389
BaseRepresentation
bin10010110100000010…
…10100011110000100
3222001220100211212100
421122001110132010
5131141124330040
64350122552100
7505202352516
oct113201243604
928056324770
1010100230020
114313353341
121b5a668630
13c4c6b188a
146bb5b3bb6
153e1aaab30
hex25a054784

10100230020 has 36 divisors (see below), whose sum is σ = 30637364940. Its totient is φ = 2693394624.

The previous prime is 10100230003. The next prime is 10100230039. The reversal of 10100230020 is 2003200101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2125025604 + 7975204416 = 46098^2 + 89304^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100229984 and 10100230011.

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 11 ways as a sum of consecutive naturals, for example, 28056015 + ... + 28056374.

It is an arithmetic number, because the mean of its divisors is an integer number (851037915).

Almost surely, 210100230020 is an apocalyptic number.

10100230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100230020 is an abundant number, since it is smaller than the sum of its proper divisors (20537134920).

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

10100230020 is a wasteful number, since it uses less digits than its factorization.

10100230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56112404 (or 56112399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10100230020 its reverse (2003200101), we get a palindrome (12103430121).

The spelling of 10100230020 in words is "ten billion, one hundred million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56112389 112224778 168337167 224449556 280561945 336674334 505011501 561123890 673348668 841685835 1010023002 1122247780 1683371670 2020046004 2525057505 3366743340 5050115010 10100230020