Search a number
-
+
11331034000 = 2453111339619
BaseRepresentation
bin10101000110110000…
…11101101110010000
31002020200100011111221
422203120131232100
5141201221042000
65112211214424
7550536125356
oct124330355620
932220304457
1011331034000
114895089610
1222428a7414
1310b769cc60
14796c417d6
15464b7d61a
hex2a361db90

11331034000 has 160 divisors (see below), whose sum is σ = 32189189760. Its totient is φ = 3803328000.

The previous prime is 11331033977. The next prime is 11331034027. The reversal of 11331034000 is 43013311.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 266191 + ... + 305809.

It is an arithmetic number, because the mean of its divisors is an integer number (201182436).

Almost surely, 211331034000 is an apocalyptic number.

11331034000 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 11331034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094594880).

11331034000 is an abundant number, since it is smaller than the sum of its proper divisors (20858155760).

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

11331034000 is a wasteful number, since it uses less digits than its factorization.

11331034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39666 (or 39650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11331034000 its reverse (43013311), we get a palindrome (11374047311).

The spelling of 11331034000 in words is "eleven billion, three hundred thirty-one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1100 1144 1300 1375 1430 1625 2000 2200 2288 2600 2750 2860 3250 3575 4400 5200 5500 5720 6500 7150 11000 11440 13000 14300 17875 22000 26000 28600 35750 39619 57200 71500 79238 143000 158476 198095 286000 316952 396190 435809 515047 633904 792380 871618 990475 1030094 1584760 1743236 1980950 2060188 2179045 2575235 3169520 3486472 3961900 4120376 4358090 4952375 5150470 5665517 6972944 7923800 8240752 8716180 9904750 10300940 10895225 11331034 12876175 15847600 17432360 19809500 20601880 21790450 22662068 25752350 28327585 34864720 39619000 41203760 43580900 45324136 51504700 54476125 56655170 64380875 79238000 87161800 90648272 103009400 108952250 113310340 128761750 141637925 174323600 206018800 217904500 226620680 257523500 283275850 435809000 453241360 515047000 566551700 708189625 871618000 1030094000 1133103400 1416379250 2266206800 2832758500 5665517000 11331034000