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13100032102300 = 225211131183177431
BaseRepresentation
bin1011111010100001011011…
…0000101000111110011100
31201101100110202112211121021
42332220112300220332130
53204112331204233200
643510023251413524
72521306002422533
oct276502660507634
951340422484537
1013100032102300
1141a0768671820
121576a5a2b42a4
137404350279b0
1433408b44131a
1517ab6661341a
hexbea16c28f9c

13100032102300 has 144 divisors (see below), whose sum is σ = 33400091257344. Its totient is φ = 4396785120000.

The previous prime is 13100032102279. The next prime is 13100032102307. The reversal of 13100032102300 is 320123000131.

It is a super-2 number, since 2×131000321023002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100032102307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169144585 + ... + 169222015.

It is an arithmetic number, because the mean of its divisors is an integer number (231945078176).

Almost surely, 213100032102300 is an apocalyptic number.

13100032102300 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 13100032102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700045628672).

13100032102300 is an abundant number, since it is smaller than the sum of its proper divisors (20300059155044).

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

13100032102300 is a wasteful number, since it uses less digits than its factorization.

13100032102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89300 (or 89293 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13100032102300 its reverse (320123000131), we get a palindrome (13420155102431).

The spelling of 13100032102300 in words is "thirteen trillion, one hundred billion, thirty-two million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 11831 14300 23662 47324 59155 77431 118310 130141 153803 154862 236620 260282 295775 307606 309724 387155 520564 591550 615212 650705 769015 774310 851741 1006603 1183100 1301410 1538030 1548620 1691833 1703482 1935775 2013206 2602820 3076060 3253525 3383666 3406964 3845075 3871550 4026412 4258705 5033015 6507050 6767332 7690150 7743100 8459165 8517410 10066030 11072633 13014100 15380300 16918330 17034820 20132060 21293525 22145266 25165075 33836660 42295825 42587050 44290532 50330150 55363165 84591650 85174100 100660300 110726330 169183300 221452660 276815825 553631650 916086161 1107263300 1832172322 3664344644 4580430805 9160861610 10076947771 11909120093 18321723220 20153895542 22902154025 23818240186 40307791084 45804308050 47636480372 50384738855 59545600465 91608616100 100769477710 119091200930 131000321023 201538955420 238182401860 251923694275 262000642046 297728002325 503847388550 524001284092 595456004650 655001605115 1007694777100 1190912009300 1310003210230 2620006420460 3275008025575 6550016051150 13100032102300