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10300223120 = 2451111704799
BaseRepresentation
bin10011001011111000…
…01110111010010000
3222120211200112211012
421211330032322100
5132043324114440
64422025310052
7513151311005
oct114574167220
928524615735
1010300223120
1144062310a0
121bb5635328
13c81c659a5
146d9d938ac
15404412e65
hex265f0ee90

10300223120 has 40 divisors (see below), whose sum is σ = 26125113600. Its totient is φ = 3745535360.

The previous prime is 10300223081. The next prime is 10300223123. The reversal of 10300223120 is 2132200301.

It is a happy number.

10300223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10300223095 and 10300223104.

It is not an unprimeable number, because it can be changed into a prime (10300223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5851520 + ... + 5853279.

It is an arithmetic number, because the mean of its divisors is an integer number (653127840).

Almost surely, 210300223120 is an apocalyptic number.

10300223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300223120 is an abundant number, since it is smaller than the sum of its proper divisors (15824890480).

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

10300223120 is a wasteful number, since it uses less digits than its factorization.

10300223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704823 (or 11704817 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10300223120 its reverse (2132200301), we get a palindrome (12432423421).

The spelling of 10300223120 in words is "ten billion, three hundred million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11704799 23409598 46819196 58523995 93638392 117047990 128752789 187276784 234095980 257505578 468191960 515011156 643763945 936383920 1030022312 1287527890 2060044624 2575055780 5150111560 10300223120