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11111113431 = 3211373379001
BaseRepresentation
bin10100101100100011…
…00010001011010111
31001200100112001012200
422112101202023113
5140223421112211
65034313415543
7542225622465
oct122621421327
931610461180
1011111113431
114791a2aa80
1221a110a5b3
131080c5c742
14775955835
154506dbb56
hex2964622d7

11111113431 has 48 divisors (see below), whose sum is σ = 18036983328. Its totient is φ = 6531840000.

The previous prime is 11111113421. The next prime is 11111113451. The reversal of 11111113431 is 13431111111.

11111113431 is a `hidden beast` number, since 11 + 111 + 113 + 431 = 666.

It is not a de Polignac number, because 11111113431 - 210 = 11111112407 is a prime.

It is a super-2 number, since 2×111111134312 (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 (11111113421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229931 + ... + 1238931.

It is an arithmetic number, because the mean of its divisors is an integer number (375770486).

Almost surely, 211111113431 is an apocalyptic number.

11111113431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111113431 is a deficient number, since it is larger than the sum of its proper divisors (6925869897).

11111113431 is a wasteful number, since it uses less digits than its factorization.

11111113431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9389 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 11111113431 its reverse (13431111111), we get a palindrome (24542224542).

The spelling of 11111113431 in words is "eleven billion, one hundred eleven million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 333 337 407 1011 1221 3033 3663 3707 9001 11121 12469 27003 33363 37407 81009 99011 112221 137159 297033 333037 411477 891099 999111 1234431 2997333 3033337 3663407 9100011 10990221 27300033 32970663 33366707 100100121 112233469 300300363 336700407 1010101221 1234568159 3703704477 11111113431