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2220011112242 = 27111910133722291
BaseRepresentation
bin100000010011100010111…
…110010100011100110010
321212020020101120100211202
4200103202332110130302
5242333040321042432
64415505314411202
7316250642050130
oct40234276243462
97766211510752
102220011112242
11786557440880
122ba305290b02
1313146664c061
147964050a750
153cb33165462
hex204e2f94732

2220011112242 has 128 divisors (see below), whose sum is σ = 4426784593920. Its totient is φ = 808859520000.

The previous prime is 2220011112227. The next prime is 2220011112257. The reversal of 2220011112242 is 2422111100222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2220011112227) and next prime (2220011112257).

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 63 ways as a sum of consecutive naturals, for example, 99581117 + ... + 99603407.

It is an arithmetic number, because the mean of its divisors is an integer number (34584254640).

Almost surely, 22220011112242 is an apocalyptic number.

2220011112242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2220011112242 is a deficient number, since it is larger than the sum of its proper divisors (2206773481678).

2220011112242 is a wasteful number, since it uses less digits than its factorization.

2220011112242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22768.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2220011112242 its reverse (2422111100222), we get a palindrome (4642122212464).

The spelling of 2220011112242 in words is "two trillion, two hundred twenty billion, eleven million, one hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 7 11 14 19 22 38 77 101 133 154 202 209 266 337 418 674 707 1111 1414 1463 1919 2222 2359 2926 3707 3838 4718 6403 7414 7777 12806 13433 15554 21109 22291 25949 26866 34037 42218 44582 44821 51898 68074 70433 89642 140866 147763 156037 238259 245201 295526 312074 374407 423529 476518 490402 493031 646703 748814 847058 986062 1293406 1716407 2251391 2620849 2964703 3432814 4502782 4526921 4658819 5241698 5929406 7113733 7512067 9053842 9317638 14227466 15024134 15759737 24765301 31519474 32611733 42776429 49530602 49796131 52584469 65223466 82632737 85552858 99592262 105168938 142729273 165265474 173357107 285458546 299435003 346714214 470540719 578429159 598870006 758718767 941081438 999104911 1156858318 1517437534 1570022003 1998209822 3140044006 3293785033 5311031369 6587570066 8345906437 10622062738 10990154021 14415656573 16691812874 21980308042 28831313146 58421345059 100909596011 116842690118 158572222303 201819192022 317144444606 1110005556121 2220011112242