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11000131000 = 235343349733
BaseRepresentation
bin10100011111010100…
…01010110110111000
31001101121200112221021
422033222022312320
5140012013143000
65015310552224
7536410366525
oct121752126670
931347615837
1011000131000
114735318261
12216bb08674
131063c72171
14764d0614c
15445ab811a
hex28fa8adb8

11000131000 has 128 divisors (see below), whose sum is σ = 26450424000. Its totient is φ = 4279564800.

The previous prime is 11000130989. The next prime is 11000131001. The reversal of 11000131000 is 13100011.

It is a happy number.

It is a super-2 number, since 2×110001310002 (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 (11000131001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15006634 + ... + 15007366.

Almost surely, 211000131000 is an apocalyptic number.

11000131000 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 11000131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225212000).

11000131000 is an abundant number, since it is smaller than the sum of its proper divisors (15450293000).

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

11000131000 is a wasteful number, since it uses less digits than its factorization.

11000131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11000131000 its reverse (13100011), we get a palindrome (11013231011).

The spelling of 11000131000 in words is "eleven billion, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 349 430 500 698 733 860 1000 1075 1396 1466 1720 1745 2150 2792 2932 3490 3665 4300 5375 5864 6980 7330 8600 8725 10750 13960 14660 15007 17450 18325 21500 29320 30014 31519 34900 36650 43000 43625 60028 63038 69800 73300 75035 87250 91625 120056 126076 146600 150070 157595 174500 183250 252152 255817 300140 315190 349000 366500 375175 511634 600280 630380 733000 750350 787975 1023268 1260760 1279085 1500700 1575950 1875875 2046536 2558170 3001400 3151900 3751750 3939875 5116340 6303800 6395425 7503500 7879750 10232680 11000131 12790850 15007000 15759500 22000262 25581700 31519000 31977125 44000524 51163400 55000655 63954250 88001048 110001310 127908500 220002620 255817000 275003275 440005240 550006550 1100013100 1375016375 2200026200 2750032750 5500065500 11000131000