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11131332044 = 2272937477883
BaseRepresentation
bin10100101110111101…
…01010010111001100
31001201202120020221012
422113132222113030
5140244110111134
65040315024352
7542562522050
oct122736522714
931652506835
1011131332044
1147a238a578
1221a7a3b0b8
1310851bb511
147784d9c60
154523826ce
hex2977aa5cc

11131332044 has 96 divisors (see below), whose sum is σ = 24159098880. Its totient is φ = 4385670912.

The previous prime is 11131332013. The next prime is 11131332067. The reversal of 11131332044 is 44023313111.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1408127 + ... + 1416009.

It is an arithmetic number, because the mean of its divisors is an integer number (251657280).

Almost surely, 211131332044 is an apocalyptic number.

11131332044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131332044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079549440).

11131332044 is an abundant number, since it is smaller than the sum of its proper divisors (13027766836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131332044 is a wasteful number, since it uses less digits than its factorization.

11131332044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 11131332044 its reverse (44023313111), we get a palindrome (55154645155).

The spelling of 11131332044 in words is "eleven billion, one hundred thirty-one million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 37 47 58 74 94 116 148 188 203 259 329 406 518 658 812 1036 1073 1316 1363 1739 2146 2726 3478 4292 5452 6956 7511 7883 9541 12173 15022 15766 19082 24346 30044 31532 38164 48692 50431 55181 100862 110362 201724 220724 228607 291671 353017 370501 457214 583342 706034 741002 914428 1166684 1412068 1482004 1600249 2041697 2593507 3200498 4083394 5187014 6400996 8166788 8458459 10374028 10744529 13708537 16916918 21489058 27417074 33833836 42978116 54834148 59209213 75211703 95959759 118418426 150423406 191919518 236836852 300846812 383839036 397547573 795095146 1590190292 2782833011 5565666022 11131332044