Search a number
-
+
10110003132300 = 22352313729381003
BaseRepresentation
bin1001001100011110101100…
…1001010011011110001100
31022210111200111112100220120
42103013223021103132030
52311120241300213200
633300245445544540
72062265205501651
oct223075311233614
938714614470816
1010110003132300
1132486a0223505
121173477715150
135844a51b1056
1426d4808c9c28
15127eb74589a0
hex931eb25378c

10110003132300 has 144 divisors (see below), whose sum is σ = 31011297149952. Its totient is φ = 2538518572800.

The previous prime is 10110003132193. The next prime is 10110003132329. The reversal of 10110003132300 is 323130001101.

10110003132300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101100031323002 (a number of 27 digits) contains 22 as substring.

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 10110003132300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14346402 + ... + 15034601.

It is an arithmetic number, because the mean of its divisors is an integer number (215356230208).

Almost surely, 210110003132300 is an apocalyptic number.

10110003132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110003132300 is an abundant number, since it is smaller than the sum of its proper divisors (20901294017652).

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

10110003132300 is a wasteful number, since it uses less digits than its factorization.

10110003132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29381088 (or 29381081 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10110003132300 its reverse (323130001101), we get a palindrome (10433133133401).

The spelling of 10110003132300 in words is "ten trillion, one hundred ten billion, three million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 150 155 185 186 222 300 310 370 372 444 465 555 620 740 775 925 930 1110 1147 1550 1850 1860 2220 2294 2325 2775 3100 3441 3700 4588 4650 5550 5735 6882 9300 11100 11470 13764 17205 22940 28675 34410 57350 68820 86025 114700 172050 344100 29381003 58762006 88143009 117524012 146905015 176286018 293810030 352572036 440715045 587620060 734525075 881430090 910811093 1087097111 1469050150 1762860180 1821622186 2174194222 2203575225 2732433279 2938100300 3261291333 3643244372 4348388444 4407150450 4554055465 5435485555 5464866558 6522582666 8814300900 9108110930 10870971110 10929733116 13045165332 13662166395 16306456665 18216221860 21741942220 22770277325 27177427775 27324332790 32612913330 33700010441 45540554650 54354855550 54648665580 65225826660 67400020882 68310831975 81532283325 91081109300 101100031323 108709711100 134800041764 136621663950 163064566650 168500052205 202200062646 273243327900 326129133300 337000104410 404400125292 505500156615 674000208820 842500261025 1011000313230 1685000522050 2022000626460 2527500783075 3370001044100 5055001566150 10110003132300