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10303023000 = 233537148371
BaseRepresentation
bin10011001100001101…
…11010011110011000
3222121000221210112110
421212012322132120
5132100033214000
64422205312320
7513214151634
oct114606723630
928530853473
1010303023000
114407873746
121bb65656a0
13c8270621a
146da4c1dc4
154047b7850
hex2661ba798

10303023000 has 128 divisors (see below), whose sum is σ = 32598858240. Its totient is φ = 2708720000.

The previous prime is 10303022987. The next prime is 10303023001. The reversal of 10303023000 is 32030301.

It is a happy number.

10303023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303023001) 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 31 ways as a sum of consecutive naturals, for example, 188815 + ... + 237185.

It is an arithmetic number, because the mean of its divisors is an integer number (254678580).

Almost surely, 210303023000 is an apocalyptic number.

10303023000 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 10303023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299429120).

10303023000 is an abundant number, since it is smaller than the sum of its proper divisors (22295835240).

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

10303023000 is a wasteful number, since it uses less digits than its factorization.

10303023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48466 (or 48452 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10303023000 its reverse (32030301), we get a palindrome (10335053301).

The spelling of 10303023000 in words is "ten billion, three hundred three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 10650 14200 17750 21300 26625 35500 42600 48371 53250 71000 96742 106500 145113 193484 213000 241855 290226 386968 483710 580452 725565 967420 1160904 1209275 1451130 1934840 2418550 2902260 3434341 3627825 4837100 5804520 6046375 6868682 7255650 9674200 10303023 12092750 13737364 14511300 17171705 18139125 20606046 24185500 27474728 29022600 34343410 36278250 41212092 48371000 51515115 68686820 72556500 82424184 85858525 103030230 137373640 145113000 171717050 206060460 257575575 343434100 412120920 429292625 515151150 686868200 858585250 1030302300 1287877875 1717170500 2060604600 2575755750 3434341000 5151511500 10303023000