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103323020000 = 25546184691
BaseRepresentation
bin110000000111010001…
…0000010101011100000
3100212200202111020201112
41200032202002223200
53143101143120000
6115244350522452
710315304115314
oct1401642025340
9325622436645
10103323020000
113a901173222
1218036806428
1399880c1975
14500250db44
152a4ad38235
hex180e882ae0

103323020000 has 120 divisors (see below), whose sum is σ = 258360229512. Its totient is φ = 40651200000.

The previous prime is 103323019999. The next prime is 103323020023. The reversal of 103323020000 is 20323301.

103323020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1177655 + ... + 1262345.

Almost surely, 2103323020000 is an apocalyptic number.

103323020000 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 103323020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129180114756).

103323020000 is an abundant number, since it is smaller than the sum of its proper divisors (155037209512).

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

103323020000 is an frugal number, since it uses more digits than its factorization.

103323020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84782 (or 84759 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 103323020000 its reverse (20323301), we get a palindrome (103343343301).

The spelling of 103323020000 in words is "one hundred three billion, three hundred twenty-three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 625 800 976 1000 1220 1250 1525 1952 2000 2440 2500 3050 4000 4880 5000 6100 7625 9760 10000 12200 15250 20000 24400 30500 38125 48800 61000 76250 84691 122000 152500 169382 244000 305000 338764 423455 610000 677528 846910 1220000 1355056 1693820 2117275 2710112 3387640 4234550 5166151 6775280 8469100 10332302 10586375 13550560 16938200 20664604 21172750 25830755 33876400 41329208 42345500 51661510 52931875 67752800 82658416 84691000 103323020 105863750 129153775 165316832 169382000 206646040 211727500 258307550 338764000 413292080 423455000 516615100 645768875 826584160 846910000 1033230200 1291537750 1693820000 2066460400 2583075500 3228844375 4132920800 5166151000 6457688750 10332302000 12915377500 20664604000 25830755000 51661510000 103323020000