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11431331000 = 2353193731613
BaseRepresentation
bin10101010010101110…
…00100010010111000
31002111200001210010122
422221113010102320
5141402410043000
65130153032412
7553164465425
oct125127042270
932450053118
1011431331000
1149367631a1
1222703b5708
1311023b89ab
147a62acd4c
1546d891085
hex2a95c44b8

11431331000 has 128 divisors (see below), whose sum is σ = 28250164800. Its totient is φ = 4317580800.

The previous prime is 11431330997. The next prime is 11431331059. The reversal of 11431331000 is 13313411.

It is a super-2 number, since 2×114313310002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11431331000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7086194 + ... + 7087806.

Almost surely, 211431331000 is an apocalyptic number.

11431331000 is a gapful number since it is divisible by the number (10) 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 11431331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125082400).

11431331000 is an abundant number, since it is smaller than the sum of its proper divisors (16818833800).

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

11431331000 is a wasteful number, since it uses less digits than its factorization.

11431331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11431331000 its reverse (13313411), we get a palindrome (11444644411).

The spelling of 11431331000 in words is "eleven billion, four hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 373 380 475 500 746 760 950 1000 1492 1613 1865 1900 2375 2984 3226 3730 3800 4750 6452 7087 7460 8065 9325 9500 12904 14174 14920 16130 18650 19000 28348 30647 32260 35435 37300 40325 46625 56696 61294 64520 70870 74600 80650 93250 122588 141740 153235 161300 177175 186500 201625 245176 283480 306470 322600 354350 373000 403250 601649 612940 708700 766175 806500 885875 1203298 1225880 1417400 1532350 1613000 1771750 2406596 3008245 3064700 3543500 3830875 4813192 6016490 6129400 7087000 7661750 11431331 12032980 15041225 15323500 22862662 24065960 30082450 30647000 45725324 57156655 60164900 75206125 91450648 114313310 120329800 150412250 228626620 285783275 300824500 457253240 571566550 601649000 1143133100 1428916375 2286266200 2857832750 5715665500 11431331000