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11101331241 = 32711132295381
BaseRepresentation
bin10100101011011000…
…01101111100101001
31001122200010001120100
422111230031330221
5140213420044431
65033324020013
7542046521130
oct122554157451
931580101510
1011101331241
114787459520
122199991609
13107bc16070
1477452a917
1544e9084e6
hex295b0df29

11101331241 has 96 divisors (see below), whose sum is σ = 21627889920. Its totient is φ = 5299084800.

The previous prime is 11101331221. The next prime is 11101331249. The reversal of 11101331241 is 14213310111.

It is a happy number.

It is not a de Polignac number, because 11101331241 - 225 = 11067776809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11101331249) 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, 2060371 + ... + 2065751.

It is an arithmetic number, because the mean of its divisors is an integer number (225290520).

Almost surely, 211101331241 is an apocalyptic number.

11101331241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101331241 is a deficient number, since it is larger than the sum of its proper divisors (10526558679).

11101331241 is a wasteful number, since it uses less digits than its factorization.

11101331241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11101331241 its reverse (14213310111), we get a palindrome (25314641352).

The spelling of 11101331241 in words is "eleven billion, one hundred one million, three hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 229 231 273 429 687 693 819 1001 1287 1603 2061 2519 2977 3003 4809 5381 7557 8931 9009 14427 16143 17633 20839 22671 26793 32747 37667 48429 52899 59191 62517 69953 98241 113001 158697 177573 187551 209859 229229 294723 339003 414337 489671 532719 629577 687687 769483 1232249 1243011 1469013 2063061 2308449 3696747 3729033 4407039 5386381 6925347 8625743 11090241 13554739 16019237 16159143 25877229 40664217 48057711 48477429 77631687 94883173 112134659 121992651 144173133 176211607 284649519 336403977 528634821 853948557 1009211931 1233481249 1585904463 3700443747 11101331241