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10030310020 = 2253729346261
BaseRepresentation
bin10010101011101101…
…00110001010000100
3221220000210112122201
421111312212022010
5131020224410040
64335144204244
7503363141233
oct112566461204
927800715581
1010030310020
114287937415
121b3b169684
13c3b0705b3
146b21b2b1a
153da898a9a
hex255da6284

10030310020 has 48 divisors (see below), whose sum is σ = 21707240688. Its totient is φ = 3890280960.

The previous prime is 10030309981. The next prime is 10030310021. The reversal of 10030310020 is 2001303001.

It can be written as a sum of positive squares in 8 ways, for example, as 5131429956 + 4898880064 = 71634^2 + 69992^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10030309979 and 10030310006.

It is not an unprimeable number, because it can be changed into a prime (10030310021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193690 + ... + 239950.

It is an arithmetic number, because the mean of its divisors is an integer number (452234181).

Almost surely, 210030310020 is an apocalyptic number.

10030310020 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 10030310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853620344).

10030310020 is an abundant number, since it is smaller than the sum of its proper divisors (11676930668).

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

10030310020 is a wasteful number, since it uses less digits than its factorization.

10030310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46600 (or 46598 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10030310020 its reverse (2001303001), we get a palindrome (12031613021).

The spelling of 10030310020 in words is "ten billion, thirty million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 293 370 586 740 1172 1465 2930 5860 10841 21682 43364 46261 54205 92522 108410 185044 216820 231305 462610 925220 1711657 3423314 6846628 8558285 13554473 17116570 27108946 34233140 54217892 67772365 135544730 271089460 501515501 1003031002 2006062004 2507577505 5015155010 10030310020