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1102221122112 = 263211215814697
BaseRepresentation
bin10000000010100001011…
…111111001101001000000
310220101000200111110110200
4100002201133321221000
5121024322101401422
62202204155525200
7142430031645135
oct20024137715100
93811020443420
101102221122112
113954a40a7a00
1215974b759800
137cc28cc3a06
143b4c248258c
151da109912ac
hex100a17f9a40

1102221122112 has 126 divisors (see below), whose sum is σ = 3472638830934. Its totient is φ = 334006379520.

The previous prime is 1102221122087. The next prime is 1102221122159. The reversal of 1102221122112 is 2112211222011.

It can be written as a sum of positive squares in only one way, i.e., 1029851513856 + 72369608256 = 1014816^2 + 269016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7837653 + ... + 7977044.

Almost surely, 21102221122112 is an apocalyptic number.

1102221122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102221122112 is an abundant number, since it is smaller than the sum of its proper divisors (2370417708822).

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

1102221122112 is a wasteful number, since it uses less digits than its factorization.

1102221122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15814737 (or 15814713 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1102221122112 its reverse (2112211222011), we get a palindrome (3214432344123).

The spelling of 1102221122112 in words is "one trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 15814697 31629394 47444091 63258788 94888182 126517576 142332273 173961667 189776364 253035152 284664546 347923334 379552728 506070304 521885001 569329092 695846668 759105456 1012140608 1043770002 1138658184 1391693336 1518210912 1565655003 1913578337 2087540004 2277316368 2783386672 3036421824 3131310006 3827156674 4175080008 4554632736 5566773344 5740735011 6262620012 7654313348 8350160016 9109265472 11133546688 11481470022 12525240024 15308626696 16700320032 17222205033 22962940044 25050480048 30617253392 33400640064 34444410066 45925880088 50100960096 61234506784 68888820132 91851760176 100201920192 122469013568 137777640264 183703520352 275555280528 367407040704 551110561056 1102221122112