Search a number
-
+
10322112300000 = 2535534407041
BaseRepresentation
bin1001011000110100110111…
…0101100100001111100000
31100112210011202100111200120
42112031031311210033200
52323104141222100000
633541525105320240
72113514364616614
oct226151565441740
940483152314616
1010322112300000
11331a646329616
1211a85b2636080
1359b4a91682c7
14279842cc5344
1512d77da146a0
hex9634dd643e0

10322112300000 has 144 divisors (see below), whose sum is σ = 33867264325104. Its totient is φ = 2752563200000.

The previous prime is 10322112299987. The next prime is 10322112300001. The reversal of 10322112300000 is 321122301.

It is a super-2 number, since 2×103221123000002 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322112300001) 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, 16903521 + ... + 17503520.

It is an arithmetic number, because the mean of its divisors is an integer number (235189335591).

Almost surely, 210322112300000 is an apocalyptic number.

10322112300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322112300000 is an abundant number, since it is smaller than the sum of its proper divisors (23545152025104).

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

10322112300000 is an frugal number, since it uses more digits than its factorization.

10322112300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34407079 (or 34407051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10322112300000 its reverse (321122301), we get a palindrome (10322433422301).

The spelling of 10322112300000 in words is "ten trillion, three hundred twenty-two billion, one hundred twelve million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 34407041 68814082 103221123 137628164 172035205 206442246 275256328 344070410 412884492 516105615 550512656 688140820 825768984 860176025 1032211230 1101025312 1376281640 1651537968 1720352050 2064422460 2580528075 2752563280 3303075936 3440704100 4128844920 4300880125 5161056150 5505126560 6881408200 8257689840 8601760250 10322112300 12902640375 13762816400 16515379680 17203520500 20644224600 21504400625 25805280750 27525632800 34407041000 41288449200 43008801250 51610561500 64513201875 68814082000 82576898400 86017602500 103221123000 107522003125 129026403750 137628164000 172035205000 206442246000 215044006250 258052807500 322566009375 344070410000 412884492000 430088012500 516105615000 645132018750 688140820000 860176025000 1032211230000 1290264037500 1720352050000 2064422460000 2580528075000 3440704100000 5161056150000 10322112300000