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10300233120 = 253521458819
BaseRepresentation
bin10011001011111000…
…10001010110100000
3222120211201001112120
421211330101112200
5132043324424440
64422025424240
7513151352112
oct114574212640
928524631476
1010300233120
114406238661
121bb563b080
13c81c6a3c8
146d9d973b2
15404415dd0
hex265f115a0

10300233120 has 48 divisors (see below), whose sum is σ = 32445735840. Its totient is φ = 2746728704.

The previous prime is 10300233103. The next prime is 10300233121. The reversal of 10300233120 is 2133200301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10300233120.

It is not an unprimeable number, because it can be changed into a prime (10300233121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10728930 + ... + 10729889.

It is an arithmetic number, because the mean of its divisors is an integer number (675952830).

Almost surely, 210300233120 is an apocalyptic number.

10300233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300233120 is an abundant number, since it is smaller than the sum of its proper divisors (22145502720).

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

10300233120 is a wasteful number, since it uses less digits than its factorization.

10300233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21458837 (or 21458829 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10300233120 its reverse (2133200301), we get a palindrome (12433433421).

The spelling of 10300233120 in words is "ten billion, three hundred million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21458819 42917638 64376457 85835276 107294095 128752914 171670552 214588190 257505828 321882285 343341104 429176380 515011656 643764570 686682208 858352760 1030023312 1287529140 1716705520 2060046624 2575058280 3433411040 5150116560 10300233120