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12242341100 = 22521123673719
BaseRepresentation
bin10110110011011001…
…10100110011101100
31011121012010100211202
423121230310303230
5200033014403400
65342443505032
7612243116363
oct133154646354
934535110752
1012242341100
115212534080
122457b28178
131201425122
14841ca27da
154b9b904d5
hex2d9b34cec

12242341100 has 144 divisors (see below), whose sum is σ = 30328058880. Its totient is φ = 4245964800.

The previous prime is 12242341091. The next prime is 12242341159. The reversal of 12242341100 is 114324221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17026541 + ... + 17027259.

It is an arithmetic number, because the mean of its divisors is an integer number (210611520).

Almost surely, 212242341100 is an apocalyptic number.

12242341100 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 12242341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164029440).

12242341100 is an abundant number, since it is smaller than the sum of its proper divisors (18085717780).

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

12242341100 is a wasteful number, since it uses less digits than its factorization.

12242341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12242341100 its reverse (114324221), we get a palindrome (12356665321).

The spelling of 12242341100 in words is "twelve billion, two hundred forty-two million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 673 719 1012 1100 1150 1265 1346 1438 2300 2530 2692 2876 3365 3595 5060 6325 6730 7190 7403 7909 12650 13460 14380 14806 15479 15818 16537 16825 17975 25300 29612 30958 31636 33074 33650 35950 37015 39545 61916 66148 67300 71900 74030 77395 79090 82685 148060 154790 158180 165370 170269 181907 185075 197725 309580 330740 340538 363814 370150 386975 395450 413425 483887 681076 727628 740300 773950 790900 826850 851345 909535 967774 1547900 1653700 1702690 1819070 1935548 2419435 3405380 3638140 4256725 4547675 4838870 5322757 8513450 9095350 9677740 10645514 11129401 12097175 17026900 18190700 21291028 22258802 24194350 26613785 44517604 48388700 53227570 55647005 106455140 111294010 122423411 133068925 222588020 244846822 266137850 278235025 489693644 532275700 556470050 612117055 1112940100 1224234110 2448468220 3060585275 6121170550 12242341100