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10115204300 = 22523741131509
BaseRepresentation
bin10010110101110100…
…11100010011001100
3222002221112121201022
421122322130103030
5131203443014200
64351415533312
7505443550355
oct113272342314
928087477638
1010115204300
114320850783
121b6368a238
13c528255b6
146bd590d2c
153e3067885
hex25ae9c4cc

10115204300 has 144 divisors (see below), whose sum is σ = 23315070240. Its totient is φ = 3803904000.

The previous prime is 10115204279. The next prime is 10115204371. The reversal of 10115204300 is 340251101.

10115204300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 19872446 + ... + 19872954.

It is an arithmetic number, because the mean of its divisors is an integer number (161910210).

Almost surely, 210115204300 is an apocalyptic number.

10115204300 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 10115204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657535120).

10115204300 is an abundant number, since it is smaller than the sum of its proper divisors (13199865940).

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

10115204300 is a wasteful number, since it uses less digits than its factorization.

10115204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10115204300 its reverse (340251101), we get a palindrome (10455455401).

The spelling of 10115204300 in words is "ten billion, one hundred fifteen million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 131 148 164 185 205 262 370 410 509 524 655 740 820 925 1018 1025 1310 1517 1850 2036 2050 2545 2620 3034 3275 3700 4100 4847 5090 5371 6068 6550 7585 9694 10180 10742 12725 13100 15170 18833 19388 20869 21484 24235 25450 26855 30340 37666 37925 41738 48470 50900 53710 66679 75332 75850 83476 94165 96940 104345 107420 121175 133358 134275 151700 188330 198727 208690 242350 266716 268550 333395 376660 397454 417380 470825 484700 521725 537100 666790 772153 794908 941650 993635 1043450 1333580 1544306 1666975 1883300 1987270 2086900 2467123 2733839 3088612 3333950 3860765 3974540 4934246 4968175 5467678 6667900 7721530 9868492 9936350 10935356 12335615 13669195 15443060 19303825 19872700 24671230 27338390 38607650 49342460 54676780 61678075 68345975 77215300 101152043 123356150 136691950 202304086 246712300 273383900 404608172 505760215 1011520430 2023040860 2528801075 5057602150 10115204300