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11131331000 = 235329383839
BaseRepresentation
bin10100101110111101…
…01010000110111000
31001201202120012111112
422113132222012320
5140244110043000
65040315015452
7542562516026
oct122736520670
931652505445
1011131331000
1147a2389809
1221a7a3a588
1310851babba
147784d9716
15452382235
hex2977aa1b8

11131331000 has 64 divisors (see below), whose sum is σ = 26945568000. Its totient is φ = 4298985600.

The previous prime is 11131330979. The next prime is 11131331021. The reversal of 11131331000 is 13313111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11131330979) and next prime (11131331021).

It is a super-2 number, since 2×111313310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162920 + ... + 220919.

It is an arithmetic number, because the mean of its divisors is an integer number (421024500).

Almost surely, 211131331000 is an apocalyptic number.

11131331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131331000 is an abundant number, since it is smaller than the sum of its proper divisors (15814237000).

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

11131331000 is a wasteful number, since it uses less digits than its factorization.

11131331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383889 (or 383875 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 11131331000 its reverse (13313111), we get a palindrome (11144644111).

The spelling of 11131331000 in words is "eleven billion, one hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 383839 767678 1535356 1919195 3070712 3838390 7676780 9595975 11131331 15353560 19191950 22262662 38383900 44525324 47979875 55656655 76767800 89050648 95959750 111313310 191919500 222626620 278283275 383839000 445253240 556566550 1113133100 1391416375 2226266200 2782832750 5565665500 11131331000