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112122011002113 = 327176110116992223
BaseRepresentation
bin11001011111100101110000…
…101000110010010100000001
3112200222202111201121201212100
4121133211300220302110001
5104144001334304031423
61034244050224021013
732421355645444140
oct3137456050622401
9480882451551770
10112122011002113
11327a8750217812
12106a9bb6761769
134a740a2549c68
141d98a3cc57757
15ce683decd343
hex65f970a32501

112122011002113 has 96 divisors (see below), whose sum is σ = 201162919606272. Its totient is φ = 58725119232000.

The previous prime is 112122011002063. The next prime is 112122011002163. The reversal of 112122011002113 is 311200110221211.

It is a happy number.

112122011002113 is a `hidden beast` number, since 1 + 121 + 220 + 110 + 0 + 211 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (112122011002063) and next prime (112122011002163).

It is not a de Polignac number, because 112122011002113 - 214 = 112122010985729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112122011002163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1897681 + ... + 15094542.

It is an arithmetic number, because the mean of its divisors is an integer number (2095447079232).

Almost surely, 2112122011002113 is an apocalyptic number.

It is an amenable number.

112122011002113 is a deficient number, since it is larger than the sum of its proper divisors (89040908604159).

112122011002113 is a wasteful number, since it uses less digits than its factorization.

112122011002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16992415 (or 16992412 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112122011002113 its reverse (311200110221211), we get a palindrome (423322121223324).

The spelling of 112122011002113 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, two thousand, one hundred thirteen".

Divisors: 1 3 7 9 17 21 51 61 63 101 119 153 183 303 357 427 549 707 909 1037 1071 1281 1717 2121 3111 3843 5151 6161 6363 7259 9333 12019 15453 18483 21777 36057 43127 55449 65331 104737 108171 129381 314211 388143 733159 942633 2199477 6598431 16992223 50976669 118945561 152930007 288867791 356836683 866603373 1036525603 1070510049 1716214523 2022074537 2599810119 3109576809 5148643569 6066223611 7255679221 9328730427 12013501661 15445930707 17620935251 18198670833 21767037663 29175646891 36040504983 52862805753 65301112989 87526940673 104689085903 108121514949 123346546757 158588417259 204229528237 262580822019 314067257709 370039640271 612688584711 732823601321 942201773127 1110118920813 1779714460351 1838065754133 2198470803963 5339143381053 6595412411889 12458001222457 16017430143159 37374003667371 112122011002113