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12330102000 = 243533755541
BaseRepresentation
bin10110111101110111…
…00110110011110000
31011211022021002011110
423132323212303300
5200223001231000
65355300513320
7614360065146
oct133673466360
934738232143
1012330102000
115258026147
1224813ab840
131216671b58
1484d7c9596
154c2728850
hex2deee6cf0

12330102000 has 160 divisors (see below), whose sum is σ = 40827369024. Its totient is φ = 3199104000.

The previous prime is 12330101981. The next prime is 12330102017. The reversal of 12330102000 is 20103321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194230 + ... + 249770.

Almost surely, 212330102000 is an apocalyptic number.

12330102000 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 12330102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20413684512).

12330102000 is an abundant number, since it is smaller than the sum of its proper divisors (28497267024).

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

12330102000 is a wasteful number, since it uses less digits than its factorization.

12330102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55604 (or 55588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12330102000 its reverse (20103321), we get a palindrome (12350205321).

The spelling of 12330102000 in words is "twelve billion, three hundred thirty million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 55541 74000 111000 111082 166623 222000 222164 277705 333246 444328 555410 666492 833115 888656 1110820 1332984 1388525 1666230 2055017 2221640 2665968 2777050 3332460 4110034 4165575 4443280 5554100 6165051 6664920 6942625 8220068 8331150 10275085 11108200 12330102 13329840 13885250 16440136 16662300 20550170 20827875 22216400 24660204 27770500 30825255 32880272 33324600 41100340 41655750 49320408 51375425 55541000 61650510 66649200 82200680 83311500 98640816 102750850 111082000 123301020 154126275 164401360 166623000 205501700 246602040 256877125 308252550 333246000 411003400 493204080 513754250 616505100 770631375 822006800 1027508500 1233010200 1541262750 2055017000 2466020400 3082525500 4110034000 6165051000 12330102000