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1122220210112 = 26173493678053
BaseRepresentation
bin10000010101001001100…
…010010111011111000000
310222021122110022101200122
4100111021202113133000
5121341301333210422
62215312453435412
7144035443253141
oct20251142273700
93867573271618
101122220210112
113a2a27063801
121615b133bb68
1381a9543c4b1
143c45c5abac8
151e2d15cbd42
hex105498977c0

1122220210112 has 112 divisors (see below), whose sum is σ = 2371393987200. Its totient is φ = 525090373632.

The previous prime is 1122220210091. The next prime is 1122220210169. The reversal of 1122220210112 is 2110120222211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 139350278 + ... + 139358330.

It is an arithmetic number, because the mean of its divisors is an integer number (21173160600).

Almost surely, 21122220210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122220210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185696993600).

1122220210112 is an abundant number, since it is smaller than the sum of its proper divisors (1249173777088).

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

1122220210112 is a wasteful number, since it uses less digits than its factorization.

1122220210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1122220210112 its reverse (2110120222211), we get a palindrome (3232340432323).

The spelling of 1122220210112 in words is "one trillion, one hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 349 367 544 698 734 1088 1396 1468 2792 2936 5584 5872 5933 6239 8053 11168 11744 11866 12478 16106 22336 23488 23732 24956 32212 47464 49912 64424 94928 99824 128083 128848 136901 189856 199648 256166 257696 273802 379712 399296 512332 515392 547604 1024664 1095208 2049328 2177411 2190416 2810497 2955451 4098656 4354822 4380832 5620994 5910902 8197312 8709644 8761664 11241988 11821804 17419288 22483976 23643608 34838576 44967952 47287216 47778449 50242667 69677152 89935904 94574432 95556898 100485334 139354304 179871808 189148864 191113796 200970668 382227592 401941336 764455184 803882672 1031452399 1528910368 1607765344 2062904798 3057820736 3215530688 4125809596 8251619192 16503238384 17534690783 33006476768 35069381566 66012953536 70138763132 140277526264 280555052528 561110105056 1122220210112