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11101213431 = 3371179257263
BaseRepresentation
bin10100101011010111…
…10001001011110111
31001122122220001222000
422111223301023313
5140213402312211
65033321310343
7542045520510
oct122553611367
931578801860
1011101213431
114787388a60
1221999353b3
13107bba4559
147744d9a07
1544e8d3656
hex295af12f7

11101213431 has 128 divisors (see below), whose sum is σ = 20924006400. Its totient is φ = 5650145280.

The previous prime is 11101213313. The next prime is 11101213433. The reversal of 11101213431 is 13431210111.

It is a happy number.

11101213431 is a `hidden beast` number, since 1 + 110 + 121 + 3 + 431 = 666.

It is not a de Polignac number, because 11101213431 - 217 = 11101082359 is a prime.

It is a super-2 number, since 2×111012134312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101213433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42209806 + ... + 42210068.

It is an arithmetic number, because the mean of its divisors is an integer number (163468800).

Almost surely, 211101213431 is an apocalyptic number.

11101213431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101213431 is a deficient number, since it is larger than the sum of its proper divisors (9822792969).

11101213431 is a wasteful number, since it uses less digits than its factorization.

11101213431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

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

Adding to 11101213431 its reverse (13431210111), we get a palindrome (24532423542).

The spelling of 11101213431 in words is "eleven billion, one hundred one million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 79 99 189 231 237 257 263 297 553 693 711 771 789 869 1659 1799 1841 2079 2133 2313 2367 2607 2827 2893 4977 5397 5523 6083 6939 7101 7821 8481 8679 14931 16191 16569 18249 19789 20251 20303 20777 23463 25443 26037 48573 49707 54747 59367 60753 60909 62331 67591 76329 78111 142121 145439 164241 178101 182259 182727 186993 202773 223333 228547 426363 436317 473137 534303 546777 548181 560979 608319 669999 685641 743501 1279089 1308951 1419411 1563331 1599829 1824957 2009997 2056923 2230503 3837267 3926853 4258233 4689993 4799487 5204507 5339689 6029991 6170769 6691509 12774699 14069979 14398461 15613521 16019067 20074527 37377823 42209937 43195383 46840563 48057201 58736579 112133469 140521689 144171603 176209737 336400407 411156053 528629211 1009201221 1233468159 1585887633 3700404477 11101213431