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10431112300 = 22527136110949
BaseRepresentation
bin10011011011011111…
…00010010001101100
3222220221222102000121
421231233202101230
5132330331043200
64443022534324
7516330664060
oct115557422154
928827872017
1010431112300
114473100074
1220314373a4
13ca31030cb
1470d505aa0
15410b69e1a
hex26dbe246c

10431112300 has 72 divisors (see below), whose sum is σ = 25890530400. Its totient is φ = 3573427200.

The previous prime is 10431112291. The next prime is 10431112303. The reversal of 10431112300 is 321113401.

It is a super-2 number, since 2×104311123002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10431112303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947226 + ... + 958174.

It is an arithmetic number, because the mean of its divisors is an integer number (359590700).

Almost surely, 210431112300 is an apocalyptic number.

10431112300 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 10431112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12945265200).

10431112300 is an abundant number, since it is smaller than the sum of its proper divisors (15459418100).

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

10431112300 is a wasteful number, since it uses less digits than its factorization.

10431112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10431112300 its reverse (321113401), we get a palindrome (10752225701).

It can be divided in two parts, 104311 and 12300, that added together give a palindrome (116611).

The spelling of 10431112300 in words is "ten billion, four hundred thirty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1361 2722 5444 6805 9527 10949 13610 19054 21898 27220 34025 38108 43796 47635 54745 68050 76643 95270 109490 136100 153286 190540 218980 238175 273725 306572 383215 476350 547450 766430 952700 1094900 1532860 1916075 3832150 7664300 14901589 29803178 59606356 74507945 104311123 149015890 208622246 298031780 372539725 417244492 521555615 745079450 1043111230 1490158900 2086222460 2607778075 5215556150 10431112300