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11222441136153 = 3213223682347017
BaseRepresentation
bin1010001101001110110110…
…0111100001000000011001
31110201212002012220012022200
42203103231213201000121
52432332024412324103
635511303541040413
72235536360510262
oct243235547410031
943655065805280
1011222441136153
1136374574a8925
121312b989b6109
1363536baaa500
142ab251c29969
15146dc4d490a3
hexa34ed9e1019

11222441136153 has 72 divisors (see below), whose sum is σ = 18319299103872. Its totient is φ = 6604742985984.

The previous prime is 11222441136119. The next prime is 11222441136209. The reversal of 11222441136153 is 35163114422211.

11222441136153 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 24 + 4 + 1 + 13 + 615 + 3 = 666.

It is not a de Polignac number, because 11222441136153 - 220 = 11222440087577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11222441136653) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238665501 + ... + 238712517.

It is an arithmetic number, because the mean of its divisors is an integer number (254434709776).

Almost surely, 211222441136153 is an apocalyptic number.

11222441136153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11222441136153 is a deficient number, since it is larger than the sum of its proper divisors (7096857967719).

11222441136153 is a wasteful number, since it uses less digits than its factorization.

11222441136153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53895 (or 53879 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 11222441136153 its reverse (35163114422211), we get a palindrome (46385555558364).

The spelling of 11222441136153 in words is "eleven trillion, two hundred twenty-two billion, four hundred forty-one million, one hundred thirty-six thousand, one hundred fifty-three".

Divisors: 1 3 9 13 23 39 69 117 169 207 299 507 897 1521 2691 3887 6823 11661 20469 34983 47017 61407 88699 141051 156929 266097 423153 470787 611221 798291 1081391 1153087 1412361 1833663 2040077 3244173 3459261 5500989 6120231 7945873 9732519 10377783 14058083 18360693 23837619 26521001 42174249 71512857 79563003 126522747 182755079 238689009 320796991 548265237 962390973 1644795711 2887172919 4170360883 7378330793 12511082649 22134992379 37533247947 54214691479 66404977137 95918300309 162644074437 287754900927 487932223311 863264702781 1246937904017 3740813712051 11222441136153