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10303010200 = 235279775869
BaseRepresentation
bin10011001100001101…
…10111010110011000
3222121000221010222101
421212012313112120
5132100032311300
64422205133144
7513214066420
oct114606672630
928530833871
1010303010200
11440786506a
121bb655a1b4
13c82700452
146da4bb480
154047b3b6a
hex2661b7598

10303010200 has 96 divisors (see below), whose sum is σ = 27659167200. Its totient is φ = 3495997440.

The previous prime is 10303010183. The next prime is 10303010213. The reversal of 10303010200 is 201030301.

10303010200 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 (10).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97866 + ... + 173734.

It is an arithmetic number, because the mean of its divisors is an integer number (288116325).

Almost surely, 210303010200 is an apocalyptic number.

10303010200 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 10303010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829583600).

10303010200 is an abundant number, since it is smaller than the sum of its proper divisors (17356157000).

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

10303010200 is a wasteful number, since it uses less digits than its factorization.

10303010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75989 (or 75980 counting only the distinct ones).

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

Adding to 10303010200 its reverse (201030301), we get a palindrome (10504040501).

The spelling of 10303010200 in words is "ten billion, three hundred three million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 140 175 194 200 280 350 388 485 679 700 776 970 1358 1400 1940 2425 2716 3395 3880 4850 5432 6790 9700 13580 16975 19400 27160 33950 67900 75869 135800 151738 303476 379345 531083 606952 758690 1062166 1517380 1896725 2124332 2655415 3034760 3793450 4248664 5310830 7359293 7586900 10621660 13277075 14718586 15173800 21243320 26554150 29437172 36796465 51515051 53108300 58874344 73592930 103030102 106216600 147185860 183982325 206060204 257575255 294371720 367964650 412120408 515150510 735929300 1030301020 1287876275 1471858600 2060602040 2575752550 5151505100 10303010200