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12023103300 = 223521310928283
BaseRepresentation
bin10110011001010000…
…11111111101000100
31011000220120221010020
423030220133331010
5144110403301200
65305012455140
7603641456205
oct131450377504
934026527106
1012023103300
11510a80150a
1223b661a4b0
131197b93610
14820b135ac
154a57d5ea0
hex2cca1ff44

12023103300 has 144 divisors (see below), whose sum is σ = 37807788480. Its totient is φ = 2932277760.

The previous prime is 12023103289. The next prime is 12023103331. The reversal of 12023103300 is 330132021.

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 12023103300.

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, 410959 + ... + 439241.

Almost surely, 212023103300 is an apocalyptic number.

12023103300 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 12023103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903894240).

12023103300 is an abundant number, since it is smaller than the sum of its proper divisors (25784685180).

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

12023103300 is a wasteful number, since it uses less digits than its factorization.

12023103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28422 (or 28415 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12023103300 its reverse (330132021), we get a palindrome (12353235321).

The spelling of 12023103300 in words is "twelve billion, twenty-three million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 109 130 150 156 195 218 260 300 325 327 390 436 545 650 654 780 975 1090 1300 1308 1417 1635 1950 2180 2725 2834 3270 3900 4251 5450 5668 6540 7085 8175 8502 10900 14170 16350 17004 21255 28283 28340 32700 35425 42510 56566 70850 84849 85020 106275 113132 141415 141700 169698 212550 282830 339396 367679 424245 425100 565660 707075 735358 848490 1103037 1414150 1470716 1696980 1838395 2121225 2206074 2828300 3082847 3676790 4242450 4412148 5515185 6165694 7353580 8484900 9191975 9248541 11030370 12331388 15414235 18383950 18497082 22060740 27575925 30828470 36767900 36994164 40077011 46242705 55151850 61656940 77071175 80154022 92485410 110303700 120231033 154142350 160308044 184970820 200385055 231213525 240462066 308284700 400770110 462427050 480924132 601155165 801540220 924854100 1001925275 1202310330 2003850550 2404620660 3005775825 4007701100 6011551650 12023103300