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11331032000 = 26537119949
BaseRepresentation
bin10101000110110000…
…11101001111000000
31002020200100001202212
422203120131033000
5141201221011000
65112211201252
7550536116501
oct124330351700
932220301685
1011331032000
114895088062
1222428a6228
1310b769c082
14796c40ba8
15464b7cc35
hex2a361d3c0

11331032000 has 112 divisors (see below), whose sum is σ = 28457956800. Its totient is φ = 4468352000.

The previous prime is 11331031973. The next prime is 11331032017. The reversal of 11331032000 is 23013311.

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, 558026 + ... + 577974.

It is an arithmetic number, because the mean of its divisors is an integer number (254088900).

Almost surely, 211331032000 is an apocalyptic number.

11331032000 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 11331032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228978400).

11331032000 is an abundant number, since it is smaller than the sum of its proper divisors (17126924800).

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

11331032000 is an equidigital number, since it uses as much as digits as its factorization.

11331032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20047 (or 20027 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11331032000 its reverse (23013311), we get a palindrome (11354045311).

The spelling of 11331032000 in words is "eleven billion, three hundred thirty-one million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 710 800 1000 1136 1420 1600 1775 2000 2272 2840 3550 4000 4544 5680 7100 8000 8875 11360 14200 17750 19949 22720 28400 35500 39898 56800 71000 79796 99745 113600 142000 159592 199490 284000 319184 398980 498725 568000 638368 797960 997450 1276736 1416379 1595920 1994900 2493625 2832758 3191840 3989800 4987250 5665516 6383680 7081895 7979600 9974500 11331032 14163790 15959200 19949000 22662064 28327580 31918400 35409475 39898000 45324128 56655160 70818950 79796000 90648256 113310320 141637900 159592000 177047375 226620640 283275800 354094750 453241280 566551600 708189500 1133103200 1416379000 2266206400 2832758000 5665516000 11331032000