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103233100000 = 25553133301
BaseRepresentation
bin110000000100100101…
…1000001100011100000
3100212110111021211200011
41200021023001203200
53142410133200000
6115231415334304
710313132605012
oct1401113014340
9325414254604
10103233100000
113a865436a78
1218010681394
13997259a274
144dd45c41b2
152a42ec52ba
hex18092c18e0

103233100000 has 144 divisors (see below), whose sum is σ = 262236465792. Its totient is φ = 39960000000.

The previous prime is 103233099929. The next prime is 103233100013. The reversal of 103233100000 is 1332301.

It is a super-2 number, since 2×1032331000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3083350 + ... + 3116650.

It is an arithmetic number, because the mean of its divisors is an integer number (1821086568).

Almost surely, 2103233100000 is an apocalyptic number.

103233100000 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 103233100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131118232896).

103233100000 is an abundant number, since it is smaller than the sum of its proper divisors (159003365792).

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

103233100000 is an frugal number, since it uses more digits than its factorization.

103233100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33367 (or 33339 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 103233100000 its reverse (1332301), we get a palindrome (103234432301).

The spelling of 103233100000 in words is "one hundred three billion, two hundred thirty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3125 3875 4000 4960 5000 6200 6250 7750 10000 12400 12500 15500 19375 20000 24800 25000 31000 33301 38750 50000 62000 66602 77500 96875 100000 124000 133204 155000 166505 193750 266408 310000 333010 387500 532816 620000 666020 775000 832525 1032331 1065632 1332040 1550000 1665050 2064662 2664080 3100000 3330100 4129324 4162625 5161655 5328160 6660200 8258648 8325250 10323310 13320400 16517296 16650500 20646620 20813125 25808275 26640800 33034592 33301000 41293240 41626250 51616550 66602000 82586480 83252500 103233100 104065625 129041375 133204000 165172960 166505000 206466200 208131250 258082750 333010000 412932400 416262500 516165500 645206875 666020000 825864800 832525000 1032331000 1290413750 1665050000 2064662000 2580827500 3226034375 3330100000 4129324000 5161655000 6452068750 10323310000 12904137500 20646620000 25808275000 51616550000 103233100000