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22120001112 = 233111710148799
BaseRepresentation
bin10100100110011101…
…000110111001011000
32010002120200111001110
4110212131012321120
5330300210013422
614054540220320
71412103623106
oct244635067130
963076614043
1022120001112
119421189260
124353b3a6a0
132116979571
1410dba9ac76
15896e3460c
hex526746e58

22120001112 has 128 divisors (see below), whose sum is σ = 64509696000. Its totient is φ = 6246144000.

The previous prime is 22120001093. The next prime is 22120001119. The reversal of 22120001112 is 21110002122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428889 + ... + 477687.

It is an arithmetic number, because the mean of its divisors is an integer number (503982000).

Almost surely, 222120001112 is an apocalyptic number.

22120001112 is a gapful number since it is divisible by the number (22) 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 22120001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32254848000).

22120001112 is an abundant number, since it is smaller than the sum of its proper divisors (42389694888).

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

22120001112 is a wasteful number, since it uses less digits than its factorization.

22120001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48937 (or 48933 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22120001112 its reverse (21110002122), we get a palindrome (43230003234).

The spelling of 22120001112 in words is "twenty-two billion, one hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 101 102 132 136 187 202 204 264 303 374 404 408 561 606 748 808 1111 1122 1212 1496 1717 2222 2244 2424 3333 3434 4444 4488 5151 6666 6868 8888 10302 13332 13736 18887 20604 26664 37774 41208 48799 56661 75548 97598 113322 146397 151096 195196 226644 292794 390392 453288 536789 585588 829583 1073578 1171176 1610367 1659166 2147156 2488749 3220734 3318332 4294312 4928699 4977498 6441468 6636664 9125413 9857398 9954996 12882936 14786097 18250826 19714796 19909992 27376239 29572194 36501652 39429592 54215689 54752478 59144388 73003304 83787883 108431378 109504956 118288776 162647067 167575766 216862756 219009912 251363649 325294134 335151532 433725512 502727298 650588268 670303064 921666713 1005454596 1301176536 1843333426 2010909192 2765000139 3686666852 5530000278 7373333704 11060000556 22120001112