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12130220100 = 223521312571201
BaseRepresentation
bin10110100110000010…
…00111100001000100
31011022101011000202010
423103001013201010
5144320314020400
65323400414220
7606412112115
oct132301074104
934271130663
1012130220100
115165213999
122426477370
1311b412953b
1483103820c
154aede4450
hex2d3047844

12130220100 has 144 divisors (see below), whose sum is σ = 35531850816. Its totient is φ = 3194880000.

The previous prime is 12130220099. The next prime is 12130220129. The reversal of 12130220100 is 102203121.

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

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 47 ways as a sum of consecutive naturals, for example, 10099500 + ... + 10100700.

It is an arithmetic number, because the mean of its divisors is an integer number (246748964).

Almost surely, 212130220100 is an apocalyptic number.

12130220100 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 12130220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765925408).

12130220100 is an abundant number, since it is smaller than the sum of its proper divisors (23401630716).

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

12130220100 is a wasteful number, since it uses less digits than its factorization.

12130220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12130220100 its reverse (102203121), we get a palindrome (12232423221).

The spelling of 12130220100 in words is "twelve billion, one hundred thirty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 257 262 300 393 514 524 655 771 786 1028 1201 1285 1310 1542 1572 1965 2402 2570 2620 3084 3275 3603 3855 3930 4804 5140 6005 6425 6550 7206 7710 7860 9825 12010 12850 13100 14412 15420 18015 19275 19650 24020 25700 30025 33667 36030 38550 39300 60050 67334 72060 77100 90075 101001 120100 134668 157331 168335 180150 202002 308657 314662 336670 360300 404004 471993 505005 617314 629324 673340 786655 841675 925971 943986 1010010 1234628 1543285 1573310 1683350 1851942 1887972 2020020 2359965 2525025 3086570 3146620 3366700 3703884 3933275 4629855 4719930 5050050 6173140 7716425 7866550 9259710 9439860 10100100 11799825 15432850 15733100 18519420 23149275 23599650 30865700 40434067 46298550 47199300 80868134 92597100 121302201 161736268 202170335 242604402 404340670 485208804 606511005 808681340 1010851675 1213022010 2021703350 2426044020 3032555025 4043406700 6065110050 12130220100