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1106287447204 = 221928923112
BaseRepresentation
bin10000000110010011110…
…111101100110010100100
310220202112002000011211201
4100012103313230302210
5121111134041302304
62204115455212244
7142632556101262
oct20062367546244
93822462004751
101106287447204
113971a0472155
1215a4a5517084
1380426598334
143b78a53d432
151db9c9683a4
hex10193decca4

1106287447204 has 81 divisors (see below), whose sum is σ = 2073142745121. Its totient is φ = 516476854080.

The previous prime is 1106287447201. The next prime is 1106287447207. The reversal of 1106287447204 is 4027447826011.

The square root of 1106287447204 is 1051802.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1106287447201) and next prime (1106287447207).

It can be written as a sum of positive squares in only one way, i.e., 212430653604 + 893856793600 = 460902^2 + 945440^2 .

It is a super-2 number, since 2×11062874472042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106287447201) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3557194209 + ... + 3557194519.

Almost surely, 21106287447204 is an apocalyptic number.

1106287447204 is the 1051802-nd square number.

It is an amenable number.

1106287447204 is a deficient number, since it is larger than the sum of its proper divisors (966855297917).

1106287447204 is an frugal number, since it uses more digits than its factorization.

1106287447204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 1106287447204 in words is "one trillion, one hundred six billion, two hundred eighty-seven million, four hundred forty-seven thousand, two hundred four".

Divisors: 1 2 4 19 38 76 89 178 311 356 361 622 722 1244 1444 1691 3382 5909 6764 7921 11818 15842 23636 27679 31684 32129 55358 64258 96721 110716 112271 128516 150499 193442 224542 300998 386884 449084 525901 601996 1051802 1837699 2103604 2463431 2859481 3675398 4926862 5718962 7350796 8608169 9853724 9992119 11437924 17216338 19984238 34432676 34916281 39968476 46805189 69832562 93610378 139665124 163555211 187220756 327110422 654220844 766127041 889298591 1532254082 1778597182 3064508164 3107549009 3557194364 6215098018 12430196036 14556413779 29112827558 58225655116 276571861801 553143723602 1106287447204